Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV / / Solomon Lefschetz |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (229 pages) |
Disciplina | 531.3 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Nonlinear oscillations |
Soggetto non controllato |
Algebraic curve
Analytic continuation Analytic function Asymptotic analysis Banach space Big O notation Boundary value problem Calculation Canonical transformation Cartesian coordinate system Change of variables Characteristic exponent Coefficient Computation Conic section Continuous function Convex set Counterexample Curvature Curve Degrees of freedom (statistics) Derivative Diagram (category theory) Differentiable function Differential equation Dimension Dimensional analysis Division by zero Eigenvalues and eigenvectors Elementary proof Equation Essential singularity Existence theorem Existential quantification Exterior (topology) Fixed-point theorem Forcing (mathematics) Forcing (recursion theory) Function space Functional equation Hamiltonian system Hyperplane Inflection point Initial condition Initial value problem Integral equation Inverse function Iteration Lagrangian mechanics Lefschetz fixed-point theorem Limit cycle Limit of a sequence Limit point Limit set Line segment Linearity Line–line intersection Lipschitz continuity Lyapunov stability Mathematical optimization Mathematics Monotonic function Newton polygon Nonlinear system Orbital stability Ordinary differential equation Ordinate Parameter Parametrization Parity (mathematics) Partial derivative Periodic function Periodic point Perturbation theory (quantum mechanics) Phase space Power series Principal part Proportionality (mathematics) Quadratic Real variable Scalar (physics) Scientific notation Sign (mathematics) Significant figures Solomon Lefschetz Special case Sturm–Liouville theory Subset Surface of revolution Theorem Theory Three-dimensional space (mathematics) Transversal (geometry) Unification (computer science) Upper half-plane Variable (mathematics) Variational method (quantum mechanics) Vector field Vector notation Zero of a function |
ISBN | 1-4008-8175-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface / Lefschetz, Solomon -- Contents -- I. On the Non-Linear Difference-Differential Equation y1(t) = [A - By(t-r) ly (t) / Kakutani, S. / Markus, L. -- II. On the Critical Points of a Class of Differential Equations / Lefschetz, Solomon -- III. Optimal Discontinuous Forcing Terms / Bushaw, D. -- IV. On the Structure of Symmetric Periodic Solutions of Conservative Systems, with Applications / DeVogelaere, René -- V. Asymptotic Behavior of Solutions of Canonical Systems Near a Closed, Unstable Orbit / Slotnick, D. L. -- VI. Small Periodic Perturbations of an Autonomous System of Vector Equations / Kyner, Walter T. -- VII. Rotated Vector Fields and an Equation for Relaxation Oscillations / Seifert, George -- VIII. A Survey of Lyapunov's Second Method / Antosiewicz, H. A. -- IX. On Phase Portraits of Critical Points in n-Space / Mendelson, Pinchas -- X. On Non-Linear Repulsive Forces / Bass, Robert W. -- Backmatter |
Record Nr. | UNINA-9910154752703321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin |
Autore | Guillemin Victor |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (236 pages) : illustrations |
Disciplina | 523.1/072/4 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Cosmology - Mathematical models
Geometry, Differential Lorentz transformations |
Soggetto non controllato |
Automorphism
Bijection C0 Canonical form Canonical transformation Cauchy distribution Causal structure Cayley transform Codimension Cohomology Cokernel Compactification (mathematics) Complexification (Lie group) Computation Conformal geometry Conformal map Conformal symmetry Connected sum Contact geometry Corank Covariant derivative Covering space Deformation theory Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Einstein field equations Equation Euler characteristic Existential quantification Fiber bundle Fibration Floquet theory Four-dimensional space Fourier integral operator Fourier transform Fundamental group Geodesic Hamilton–Jacobi equation Hilbert space Holomorphic function Holomorphic vector bundle Hyperfunction Hypersurface Integral curve Integral geometry Integral transform Intersection (set theory) Invertible matrix K-finite Lagrangian (field theory) Lie algebra Light cone Linear map Manifold Maxima and minima Minkowski space Module (mathematics) Notation One-parameter group Parametrix Parametrization Principal bundle Product metric Pseudo-differential operator Quadratic equation Quadratic form Quadric Radon transform Riemann surface Riemannian manifold Seifert fiber space Sheaf (mathematics) Siegel domain Simply connected space Submanifold Submersion (mathematics) Support (mathematics) Surjective function Symplectic manifold Symplectic vector space Symplectomorphism Tangent space Tautology (logic) Tensor product Theorem Topological space Topology Two-dimensional space Unit vector Universal enveloping algebra Variable (mathematics) Vector bundle Vector field Vector space Verma module Volume form X-ray transform |
ISBN | 1-4008-8241-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Foreword -- Part I. A relativistic approach to Zoll phenomena -- Part II. The general theory of Zollfrei deformations -- Part III. Zollfrei deformations of M2,1 -- Part IV. The generalized x-ray transform -- Part V. The Floquet theory -- Bibliography |
Record Nr. | UNINA-9910154746903321 |
Guillemin Victor | ||
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 | ||
|
Prospects in Mathematics. (AM-70), Volume 70 / / Friedrich Hirzebruch, Lars Hörmander, I. M. Singer, Jean-Pierre Serre, John Milnor |
Autore | Hirzebruch Friedrich |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (197 pages) |
Disciplina | 510 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Mathematics |
Soggetto non controllato |
A priori estimate
Addition Additive group Affine space Algebraic geometry Algebraic group Atiyah–Singer index theorem Bernoulli number Boundary value problem Bounded operator C*-algebra Canonical transformation Cauchy problem Characteristic class Clifford algebra Coefficient Cohomology Commutative property Commutative ring Complex manifold Complex number Complex vector bundle Dedekind sum Degenerate bilinear form Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Ellipse Elliptic operator Equation Euler characteristic Euler number Existence theorem Exotic sphere Finite difference Finite group Fourier integral operator Fourier transform Fourier Fredholm operator Hardy space Hilbert space Holomorphic vector bundle Homogeneous coordinates Homomorphism Homotopy Hyperbolic partial differential equation Identity component Integer Integral transform Isomorphism class John Milnor K-theory Lebesgue measure Line bundle Local ring Mathematics Maximal ideal Modular form Module (mathematics) Monoid Normal bundle Number theory Open set Parametrix Parity (mathematics) Partial differential equation Piecewise linear manifold Poisson bracket Polynomial ring Polynomial Prime number Principal part Projective space Pseudo-differential operator Quadratic form Rational variety Real number Reciprocity law Resolution of singularities Riemann–Roch theorem Shift operator Simply connected space Special case Square-integrable function Subalgebra Submanifold Support (mathematics) Surjective function Symmetric bilinear form Symplectic vector space Tangent space Theorem Topology Variable (mathematics) Vector bundle Vector space Winding number |
ISBN | 1-4008-8169-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- THE SIGNATURE THEOREM: REMINISCENCES AND RECREATION / Hirzebruch, F. -- THE CALCULUS OF FOURIER INTEGRAL OPERATORS / Hormander, Lars -- SYMMETRIC INNER PRODUCTS IN CHARACTERISTIC 2 / Milnor, John -- COHOMOLOGIE DES GROUPES DISCRETS / Serre, Jean-Pierre -- FUTURE EXTENSIONS OF INDEX THEORY AND ELLIPTIC OPERATORS / Singer, I. M. |
Record Nr. | UNINA-9910154751003321 |
Hirzebruch Friedrich | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander |
Autore | Hörmander Lars |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (296 pages) : illustrations |
Disciplina | 515/.353 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Differential equations, Linear - Numerical solutions
Differential equations, Partial - Numerical solutions |
Soggetto non controllato |
A priori estimate
Adjoint equation Analytic continuation Analytic function Analytic manifold Asymptote Asymptotic analysis Asymptotic distribution Asymptotic expansion Asymptotic formula Big O notation Calculus on manifolds Canonical transformation Characteristic equation Characteristic function (probability theory) Codimension Cohomology Commutator Complex manifold Complex number Continuous function (set theory) Continuous function Covariant derivative Diffeomorphism Differential equation Differential operator Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elementary proof Elliptic boundary value problem Equation Equivalence class Equivalence relation Error term Existence theorem Existential quantification Exponential function Fourier integral operator Fourier inversion theorem Fourier transform Functional calculus Fundamental solution Hamiltonian vector field Hardy space Harmonic analysis Hermann Weyl Hermitian adjoint Hilbert space Holomorphic function Homogeneous function Hyperbolic partial differential equation Hyperfunction Hypersurface Inclusion map Inequality (mathematics) Integer lattice Integral transform Irreducible representation Lagrangian (field theory) Laplace operator Limit (mathematics) Linear map Local diffeomorphism Manifold Mathematical optimization Maximal torus Monotonic function Ordinary differential equation Oscillatory integral Partial differential equation Partition of unity Poisson bracket Poisson summation formula Polynomial Projection (linear algebra) Projective variety Pseudo-differential operator Regularity theorem Renormalization Riemann surface Riemannian manifold Riesz representation theorem Self-adjoint operator Self-adjoint Sign (mathematics) Special case Spectral theorem Spectral theory Summation Support (mathematics) Symplectic geometry Symplectic manifold Taylor series Theorem Toeplitz operator Trace class Trigonometric polynomial Unit disk Variable (mathematics) |
ISBN | 1-4008-8158-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface / Hörmander, Lars -- Spectral Analysis of Singularities / Hörmander, Lars -- Fourier Integral Operators with Complex Phase Functions / Sjöstrand, J. -- Hypoelliptic Operators with Double Characteristics / Menikoff, A. -- Differential Boundary Value Problems of Principal Type / Melrose, R. B. -- Propagation of Singularities for a Class of Operators with Double Characteristics / Hanges, Nicholas -- Subelliptic Operators / Hörmander, Lars -- Lacunas and Transmissions / Monvel, Louis Boutet de -- Some Classical Theorems in Spectral Theory Revisited / Guillemin, Victor -- Szegö's Theorem and a Complete Symbolic Calculus for Pseudo-Differential Operators / Widom, Harold -- Backmatter |
Record Nr. | UNINA-9910154745903321 |
Hörmander Lars | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|