Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I / / Solomon Lefschetz |
Autore | Lefschetz Solomon |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (365 pages) : illustrations |
Disciplina | 531.3 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Oscillations |
Soggetto non controllato |
Absolute value
Addition Algebraic equation Amplitude modulation Angular frequency Applied mathematics Approximation Boundary value problem Coefficient Complex analysis Continuous function Contradiction Curve Diagram (category theory) Differential equation Dimensionless quantity Discriminant Eigenvalues and eigenvectors Empty set Equation Experiment Fourier Frequency modulation Homotopy Implicit function theorem Initial condition Integer Integral equation Limit point Linear map Nonlinear system Normal (geometry) Notation Operator theory Ordinary differential equation Oscillation Parameter Periodic function Phase space Pure mathematics Quantity Rational function Saddle point Second derivative Simply connected space Singular perturbation Solid torus Special case Suggestion Summation Tangent space Theorem Theory Three-dimensional space (mathematics) Topology Two-dimensional space Uniqueness Vacuum tube Variable (mathematics) Vector field |
ISBN | 1-4008-8263-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- I. ON SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, Stephen P. -- II. OSCILLATION OF A THIRD ORDER NONLINEAR AUTONOMOUS SYSTEM / Rauch, Lawrence Lee -- III. NON-LINEAR DELAY DIFFERENTIAL EQUATIONS / Brownell, F. H. -- IV. FORCED OSCILLATIONS IN NONLINEAR SYSTEMS / Cartwright, M. L. -- V. SINGULAR PERTURBATIONS OF A VAN DER POL EQUATION / Wendel, James G. -- VI. THE EXISTENCE OF FORCED PERIODIC SOLUTIONS OF SECOND ORDER DIFFERENTIAL EQUATIONS NEAR CERTAIN EQUILIBRIUM POINTS OF THE UNFORCED EQUATION / Langenhop, C. E. / Farnell, A. B. -- VII. ON THE CONSTRUCTION OF PERIODIC SOLUTIONS OF SINGULAR PERTURBATION PROBLEMS / Wasow, Wolfgang |
Record Nr. | UNINA-9910154745203321 |
Lefschetz Solomon | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Curvature and Betti Numbers. (AM-32), Volume 32 / / Kentaro Yano, Salomon Trust |
Autore | Trust Salomon |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (205 pages) |
Disciplina |
513.7
516.7* |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Curvature
Geometry, Differential |
Soggetto non controllato |
Abelian integral
Affine connection Algebraic operation Almost periodic function Analytic function Arc length Betti number Coefficient Compact space Complex analysis Complex conjugate Complex dimension Complex manifold Conservative vector field Constant curvature Constant function Continuous function Convex set Coordinate system Covariance and contravariance of vectors Covariant derivative Curvature Derivative Differential form Differential geometry Dimension (vector space) Dimension Einstein manifold Equation Euclidean domain Euclidean geometry Euclidean space Existential quantification Geometry Hausdorff space Hypersphere Killing vector field Kähler manifold Lie group Manifold Metric tensor (general relativity) Metric tensor Mixed tensor One-parameter group Orientability Partial derivative Periodic function Permutation Quantity Ricci curvature Riemannian manifold Scalar (physics) Sectional curvature Self-adjoint Special case Subset Summation Symmetric tensor Symmetrization Tensor algebra Tensor calculus Tensor field Tensor Theorem Torsion tensor Two-dimensional space Uniform convergence Uniform space Unit circle Unit sphere Unit vector Vector field |
ISBN | 1-4008-8220-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Riemannian Manifold -- Chapter II. Harmonic and Killing Vectors -- Chapter III. Harmonic and Killing Tensors -- Chapter IV. Harmonic and Killing Tensors in Flat Manifolds -- Chapter V. Deviation from Flatness -- Chapter VI. Semi-simple Group Spaces -- Chapter VII. Pseudo-harmonic Tensors and Pseudo-Killing Tensors in Metric Manifolds with Torsion -- Chapter VIII. Kaehler Manifold -- Chapter IX. Supplements / Bochner, S. -- Bibliography -- Backmatter |
Record Nr. | UNINA-9910154748603321 |
Trust Salomon | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Degree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 / / Walter Edwin Sewell |
Autore | Sewell Walter Edwin |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (252 pages) |
Disciplina | 512.22 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Approximation theory
Polynomials |
Soggetto non controllato |
0B
Addition Antiderivative Approximation Arbitrarily large Arc (geometry) Arc length Big O notation Bijection Bounded set (topological vector space) Branch point Circumference Coefficient Complex analysis Complex number Conformal map Connected space Constant of integration Continuous function Covering space Derivative Difference "ient Differentiable function Dimension Elementary proof Equation Even and odd functions Existence theorem Existential quantification Exterior (topology) Floor and ceiling functions Fourier series Function of a real variable Geometry Green's function Harmonic function Harmonic polynomial Infimum and supremum Infinitesimal Integer Isolated point Isolated singularity Iterative method Jordan curve theorem Least squares Lebesgue integration Lemniscate Limit (mathematics) Line integral Line segment Lipschitz continuity Logarithm Mathematician Modulus of continuity Natural number Notation Open problem Orthogonal polynomials Partial derivative Periodic function Point at infinity Polynomial Rational function Real variable Rectangle Requirement Riemann sum Root of unity Second derivative Set theory Sign (mathematics) Simply connected space Special case Suggestion Summation Surface integral Taylor series Theorem Theory Trigonometric functions Trigonometry Uniform convergence Unit circle Upper and lower bounds Variable (mathematics) Weight function |
ISBN | 1-4008-8221-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Preliminaries -- Part I. Problem α -- Chapter II. Polynomial Inequalities -- Chapter III. Tchebycheff Approximation -- Chapter IV. Approximation Measured by a Line Integral -- Part II. Problem β -- Chapter V. Preliminaries -- Chapter VI. Tchebycheff Approximation -- Chapter VII. Approximation Measured by a Line Integral -- Chapter VIII. Special Configurations -- Bibliography |
Record Nr. | UNINA-9910154748503321 |
Sewell Walter Edwin | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Dynamics in one complex variable [[electronic resource] /] / by John Milnor |
Autore | Milnor John W (John Willard), <1931-> |
Edizione | [3rd ed.] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2006 |
Descrizione fisica | 1 online resource (313 p.) |
Disciplina |
515.93
515/.93 |
Collana | Annals of mathematics studies |
Soggetto topico |
Functions of complex variables
Holomorphic mappings Riemann surfaces |
Soggetto non controllato |
Absolute value
Addition Algebraic equation Attractor Automorphism Beltrami equation Blaschke product Boundary (topology) Branched covering Coefficient Compact Riemann surface Compact space Complex analysis Complex number Complex plane Computation Connected component (graph theory) Connected space Constant function Continued fraction Continuous function Coordinate system Corollary Covering space Cross-ratio Derivative Diagram (category theory) Diameter Diffeomorphism Differentiable manifold Disjoint sets Disjoint union Disk (mathematics) Division by zero Equation Euler characteristic Existential quantification Exponential map (Lie theory) Fundamental group Harmonic function Holomorphic function Homeomorphism Hyperbolic geometry Inequality (mathematics) Integer Inverse function Irrational rotation Iteration Jordan curve theorem Julia set Lebesgue measure Lecture Limit point Line segment Linear map Linearization Mandelbrot set Mathematical analysis Maximum modulus principle Metric space Monotonic function Montel's theorem Normal family Open set Orbifold Parameter space Parameter Periodic point Point at infinity Polynomial Power series Proper map Quadratic function Rational approximation Rational function Rational number Real number Riemann sphere Riemann surface Root of unity Rotation number Schwarz lemma Scientific notation Sequence Simply connected space Special case Subgroup Subsequence Subset Summation Tangent space Theorem Topological space Topology Uniform convergence Uniformization theorem Unit circle Unit disk Upper half-plane Winding number |
ISBN |
1-283-00148-9
9786613001481 1-4008-3553-4 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Table Of Contents -- List of Figures -- Preface to the Third Edition -- Chronological Table -- Riemann Surfaces -- Iterated Holomorphic Maps -- Local Fixed Point Theory -- Periodic Points: Global Theory -- Structure of the Fatou Set -- Using the Fatou Set to Study the Julia Set -- Appendix A. Theorems from Classical Analysis -- Appendix B. Length-Area-Modulus Inequalities -- Appendix C. Rotations, Continued Fractions, and Rational Approximation -- Appendix D. Two or More Complex Variables -- Appendix E. Branched Coverings and Orbifolds -- Appendix F. No Wandering Fatou Components -- Appendix G. Parameter Spaces -- Appendix H. Computer Graphics and Effective Computation -- References -- Index |
Record Nr. | UNINA-9910791879203321 |
Milnor John W (John Willard), <1931-> | ||
Princeton, N.J., : Princeton University Press, 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Dynamics in one complex variable [[electronic resource] /] / by John Milnor |
Autore | Milnor John W (John Willard), <1931-> |
Edizione | [3rd ed.] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2006 |
Descrizione fisica | 1 online resource (313 p.) |
Disciplina |
515.93
515/.93 |
Collana | Annals of mathematics studies |
Soggetto topico |
Functions of complex variables
Holomorphic mappings Riemann surfaces |
Soggetto non controllato |
Absolute value
Addition Algebraic equation Attractor Automorphism Beltrami equation Blaschke product Boundary (topology) Branched covering Coefficient Compact Riemann surface Compact space Complex analysis Complex number Complex plane Computation Connected component (graph theory) Connected space Constant function Continued fraction Continuous function Coordinate system Corollary Covering space Cross-ratio Derivative Diagram (category theory) Diameter Diffeomorphism Differentiable manifold Disjoint sets Disjoint union Disk (mathematics) Division by zero Equation Euler characteristic Existential quantification Exponential map (Lie theory) Fundamental group Harmonic function Holomorphic function Homeomorphism Hyperbolic geometry Inequality (mathematics) Integer Inverse function Irrational rotation Iteration Jordan curve theorem Julia set Lebesgue measure Lecture Limit point Line segment Linear map Linearization Mandelbrot set Mathematical analysis Maximum modulus principle Metric space Monotonic function Montel's theorem Normal family Open set Orbifold Parameter space Parameter Periodic point Point at infinity Polynomial Power series Proper map Quadratic function Rational approximation Rational function Rational number Real number Riemann sphere Riemann surface Root of unity Rotation number Schwarz lemma Scientific notation Sequence Simply connected space Special case Subgroup Subsequence Subset Summation Tangent space Theorem Topological space Topology Uniform convergence Uniformization theorem Unit circle Unit disk Upper half-plane Winding number |
ISBN |
1-283-00148-9
9786613001481 1-4008-3553-4 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Table Of Contents -- List of Figures -- Preface to the Third Edition -- Chronological Table -- Riemann Surfaces -- Iterated Holomorphic Maps -- Local Fixed Point Theory -- Periodic Points: Global Theory -- Structure of the Fatou Set -- Using the Fatou Set to Study the Julia Set -- Appendix A. Theorems from Classical Analysis -- Appendix B. Length-Area-Modulus Inequalities -- Appendix C. Rotations, Continued Fractions, and Rational Approximation -- Appendix D. Two or More Complex Variables -- Appendix E. Branched Coverings and Orbifolds -- Appendix F. No Wandering Fatou Components -- Appendix G. Parameter Spaces -- Appendix H. Computer Graphics and Effective Computation -- References -- Index |
Record Nr. | UNINA-9910812639703321 |
Milnor John W (John Willard), <1931-> | ||
Princeton, N.J., : Princeton University Press, 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin |
Autore | Astala Kari <1953-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2009 |
Descrizione fisica | 1 online resource (696 p.) |
Disciplina | 515/.93 |
Altri autori (Persone) |
IwaniecTadeusz
MartinGaven |
Collana | Princeton mathematical series |
Soggetto topico |
Differential equations, Elliptic
Quasiconformal mappings |
Soggetto non controllato |
Adjoint equation
Analytic function Analytic proof Banach space Beltrami equation Boundary value problem Bounded mean oscillation Calculus of variations Cantor function Cartesian product Cauchy–Riemann equations Central limit theorem Characterization (mathematics) Complex analysis Complex plane Conformal geometry Conformal map Conjugate variables Continuous function (set theory) Coordinate space Degeneracy (mathematics) Differential equation Directional derivative Dirichlet integral Dirichlet problem Disk (mathematics) Distribution (mathematics) Elliptic operator Elliptic partial differential equation Equation Equations of motion Euler–Lagrange equation Explicit formulae (L-function) Factorization Fourier transform Fubini's theorem Geometric function theory Geometric measure theory Geometry Harmonic conjugate Harmonic function Harmonic map Harmonic measure Hilbert transform Holomorphic function Homeomorphism Hyperbolic geometry Hyperbolic trigonometry Invertible matrix Jacobian matrix and determinant Julia set Lagrangian (field theory) Laplace's equation Limit (mathematics) Linear differential equation Linear equation Linear fractional transformation Linear map Linearization Lipschitz continuity Locally integrable function Lusin's theorem Mathematical optimization Mathematics Maxima and minima Maxwell's equations Measure (mathematics) Metric space Mirror symmetry (string theory) Moduli space Modulus of continuity Monodromy theorem Monotonic function Montel's theorem Operator (physics) Operator theory Partial derivative Partial differential equation Poisson formula Polynomial Quadratic function Quasiconformal mapping Quasiconvex function Quasisymmetric function Renormalization Riemann sphere Riemann surface Riemannian geometry Riesz transform Riesz–Thorin theorem Sign (mathematics) Sobolev space Square-integrable function Support (mathematics) Theorem Two-dimensional space Uniformization theorem Upper half-plane Variable (mathematics) Weyl's lemma (Laplace equation) |
ISBN |
1-282-15727-2
9786612157271 1-4008-3011-7 |
Classificazione | SK 560 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. A Background In Conformal Geometry -- Chapter 3. The Foundations Of Quasiconformal Mappings -- Chapter 4. Complex Potentials -- Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings -- Chapter 6. Parameterizing General Linear Elliptic Systems -- Chapter 7. The Concept Of Ellipticity -- Chapter 8. Solving General Nonlinear First-Order Elliptic Systems -- Chapter 9. Nonlinear Riemann Mapping Theorems -- Chapter 10. Conformal Deformations And Beltrami Systems -- Chapter 11. A Quasilinear Cauchy Problem -- Chapter 12. Holomorphic Motions -- Chapter 13. Higher Integrability -- Chapter 14. Lp-Theory Of Beltrami Operators -- Chapter 15. Schauder Estimates For Beltrami Operators -- Chapter 16. Applications To Partial Differential Equations -- Chapter 17. PDEs Not Of Divergence Type: Pucci'S Conjecture -- Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderón's Problem -- Chapter 19. Integral Estimates For The Jacobian -- Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case -- Chapter 21. Aspects Of The Calculus Of Variations -- Appendix: Elements Of Sobolev Theory And Function Spaces -- Basic Notation -- Bibliography -- Index |
Record Nr. | UNINA-9910778138403321 |
Astala Kari <1953-> | ||
Princeton, : Princeton University Press, c2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin |
Autore | Astala Kari <1953-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2009 |
Descrizione fisica | 1 online resource (696 p.) |
Disciplina | 515/.93 |
Altri autori (Persone) |
IwaniecTadeusz
MartinGaven |
Collana | Princeton mathematical series |
Soggetto topico |
Differential equations, Elliptic
Quasiconformal mappings |
Soggetto non controllato |
Adjoint equation
Analytic function Analytic proof Banach space Beltrami equation Boundary value problem Bounded mean oscillation Calculus of variations Cantor function Cartesian product Cauchy–Riemann equations Central limit theorem Characterization (mathematics) Complex analysis Complex plane Conformal geometry Conformal map Conjugate variables Continuous function (set theory) Coordinate space Degeneracy (mathematics) Differential equation Directional derivative Dirichlet integral Dirichlet problem Disk (mathematics) Distribution (mathematics) Elliptic operator Elliptic partial differential equation Equation Equations of motion Euler–Lagrange equation Explicit formulae (L-function) Factorization Fourier transform Fubini's theorem Geometric function theory Geometric measure theory Geometry Harmonic conjugate Harmonic function Harmonic map Harmonic measure Hilbert transform Holomorphic function Homeomorphism Hyperbolic geometry Hyperbolic trigonometry Invertible matrix Jacobian matrix and determinant Julia set Lagrangian (field theory) Laplace's equation Limit (mathematics) Linear differential equation Linear equation Linear fractional transformation Linear map Linearization Lipschitz continuity Locally integrable function Lusin's theorem Mathematical optimization Mathematics Maxima and minima Maxwell's equations Measure (mathematics) Metric space Mirror symmetry (string theory) Moduli space Modulus of continuity Monodromy theorem Monotonic function Montel's theorem Operator (physics) Operator theory Partial derivative Partial differential equation Poisson formula Polynomial Quadratic function Quasiconformal mapping Quasiconvex function Quasisymmetric function Renormalization Riemann sphere Riemann surface Riemannian geometry Riesz transform Riesz–Thorin theorem Sign (mathematics) Sobolev space Square-integrable function Support (mathematics) Theorem Two-dimensional space Uniformization theorem Upper half-plane Variable (mathematics) Weyl's lemma (Laplace equation) |
ISBN |
1-282-15727-2
9786612157271 1-4008-3011-7 |
Classificazione | SK 560 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. A Background In Conformal Geometry -- Chapter 3. The Foundations Of Quasiconformal Mappings -- Chapter 4. Complex Potentials -- Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings -- Chapter 6. Parameterizing General Linear Elliptic Systems -- Chapter 7. The Concept Of Ellipticity -- Chapter 8. Solving General Nonlinear First-Order Elliptic Systems -- Chapter 9. Nonlinear Riemann Mapping Theorems -- Chapter 10. Conformal Deformations And Beltrami Systems -- Chapter 11. A Quasilinear Cauchy Problem -- Chapter 12. Holomorphic Motions -- Chapter 13. Higher Integrability -- Chapter 14. Lp-Theory Of Beltrami Operators -- Chapter 15. Schauder Estimates For Beltrami Operators -- Chapter 16. Applications To Partial Differential Equations -- Chapter 17. PDEs Not Of Divergence Type: Pucci'S Conjecture -- Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderón's Problem -- Chapter 19. Integral Estimates For The Jacobian -- Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case -- Chapter 21. Aspects Of The Calculus Of Variations -- Appendix: Elements Of Sobolev Theory And Function Spaces -- Basic Notation -- Bibliography -- Index |
Record Nr. | UNINA-9910814356503321 |
Astala Kari <1953-> | ||
Princeton, : Princeton University Press, c2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths |
Autore | Griffiths Phillip A. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (112 pages) : illustrations |
Disciplina | 515/.9 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Holomorphic mappings |
Soggetto non controllato |
Algebraic variety
Analytic function Analytic set Armand Borel Big O notation Canonical bundle Cartesian coordinate system Characteristic function (probability theory) Characterization (mathematics) Chern class Compact Riemann surface Compact space Complex analysis Complex manifold Complex projective space Corollary Counting Curvature Degeneracy (mathematics) Derivative Differential form Dimension Divisor Elementary proof Entire function Equation Exponential growth Gaussian curvature Hermann Weyl Hodge theory Holomorphic function Hyperplane Hypersurface Infinite product Integral geometry Invariant measure Inverse problem Jacobian matrix and determinant Kähler manifold Line bundle Linear equation Logarithmic derivative Manifold Meromorphic function Modular form Monograph Nevanlinna theory Nonlinear system Phillip Griffiths Picard theorem Polynomial Projective space Q.E.D. Quantity Ricci curvature Riemann sphere Scientific notation Several complex variables Special case Stokes' theorem Subset Summation Theorem Theory Uniformization theorem Unit square Volume form |
ISBN | 1-4008-8148-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter |
Record Nr. | UNINA-9910154753903321 |
Griffiths Phillip A. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Generalized Feynman Amplitudes. (AM-62), Volume 62 / / Eugene R. Speer |
Autore | Speer Eugene R. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (233 pages) |
Disciplina | 530.14/3 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Mathematical physics
Quantum field theory |
Soggetto non controllato |
Addition
Adjoint Amplitude Analytic continuation Analytic function Antiparticle C-number Calculation Change of variables Classical electromagnetism Coefficient Commutative property Compact space Complex analysis Complex number Connectivity (graph theory) Constant term Convolution Derivative Diagram (category theory) Differentiable function Distribution (mathematics) Equation Estimation Explicit formulae (L-function) Fermion Fock space Formal power series Fourier transform Free field Gauge theory Graph theory Hilbert space Incidence matrix Interaction picture Invertible matrix Irreducibility (mathematics) Isolated singularity Lagrangian (field theory) Laurent series Mathematical induction Mathematics Momentum Monomial Multiple integral National Science Foundation Notation Parameter Path integral formulation Permutation Polynomial Power series Probability Propagator Quadratic form Quantity Quantum field theory Remainder Renormalization Requirement S-matrix Scattering amplitude Scientific notation Second quantization Several complex variables Simple extension Special case Subset Subtraction Suggestion Summation Taylor series Tensor product Theorem Theory Topological space Translational symmetry Tree (data structure) Uniform convergence Vacuum expectation value Vacuum state Vacuum Variable (mathematics) Vector field Vector potential Wick's theorem Z0 |
ISBN | 1-4008-8186-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Acknowledgements -- Abstract -- tables of contents -- Introductions -- CHAPTER I. Renormalization in Lagrangian Field Theory -- CHAPTER II. Definition of Generalized Amplitudes -- CHAPTER III. Analytic Renormalization -- CHAPTER IV. Summation of Feynman Amplitudes -- CONCLUSION -- APPENDIX A. Graphs -- APPENDIX B. Distributions -- APPENDIX C. The Free Field -- BIBLIOGRAPHY |
Record Nr. | UNINA-9910154752403321 |
Speer Eugene R. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland |
Autore | Folland Gerald B. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (289 pages) : illustrations |
Disciplina | 530.1/3 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Phase space (Statistical physics)
Harmonic analysis |
Soggetto non controllato |
Analytic continuation
Analytic function Antisymmetric tensor Asymptotic expansion Automorphism Bilinear form Bounded operator Calculation Canonical commutation relation Canonical transformation Cauchy–Riemann equations Cayley transform Class function (algebra) Classical mechanics Commutative property Complex analysis Configuration space Differential equation Differential geometry Differential operator Eigenvalues and eigenvectors Equation Explicit formula Fock space Fourier analysis Fourier integral operator Fourier transform Functional analysis Gaussian function Gaussian integral Geometric quantization Hamiltonian mechanics Hamiltonian vector field Harmonic analysis Heisenberg group Hermite polynomials Hermitian symmetric space Hilbert space Hilbert transform Integral transform Invariant subspace Irreducible representation Lebesgue measure Lie algebra Lie superalgebra Lie theory Mathematical physics Number theory Observable Ordinary differential equation Orthonormal basis Oscillator representation Oscillatory integral Partial differential equation Phase factor Phase space Point at infinity Poisson bracket Polynomial Power series Probability Projection (linear algebra) Projective Hilbert space Projective representation Projective space Pseudo-differential operator Pullback (category theory) Quadratic function Quantum harmonic oscillator Quantum mechanics Representation theory Schrödinger equation Self-adjoint operator Semigroup Several complex variables Siegel disc Sobolev space Spectral theorem Spectral theory State-space representation Stone's theorem Stone–Weierstrass theorem Summation Symmetric space Symmetric tensor Symplectic geometry Symplectic group Symplectic vector space Symplectomorphism Tangent space Tangent vector Theorem Translational symmetry Unbounded operator Unit vector Unitarity (physics) Unitary operator Unitary representation Variable (mathematics) Wave packet |
ISBN | 1-4008-8242-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- PROLOGUE. SOME MATTERS OF NOTATION -- CHAPTER 1. THE HEISENBERG GROUP AND ITS REPRESENTATIONS -- CHAPTER 2. QUANTIZATION AND PSEUDODIFFERENTIAL OPERATORS -- CHAPTER 3. WAVE PACKETS AND WAVE FRONTS -- CHAPTER 4. THE METAPLECTIC REPRESENTATION -- CHAPTER 5. THE OSCILLATOR SEMIGROUP -- APPENDIX A. GAUSSIAN INTEGRALS AND A LEMMA ON DETERMINANTS -- APPENDIX B. SOME HILBERT SPACE RESULTS -- BIBLIOGRAPHY -- INDEX |
Record Nr. | UNINA-9910154752303321 |
Folland Gerald B. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|