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Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz
Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz
Autore Lefschetz Solomon
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (300 pages) : illustrations
Disciplina 531.3
Collana Annals of Mathematics Studies
Soggetto topico Oscillations
Soggetto non controllato Addition
Almost periodic function
Analytic function
Analytic manifold
Asymptote
Asymptotic analysis
Banach space
Basis (linear algebra)
Betti number
Big O notation
Boundary (topology)
Boundary value problem
Boundedness
Calculation
Cartesian coordinate system
Characteristic equation
Characteristic exponent
Coefficient matrix
Coefficient
Combination
Complex number
Complex space
Connected space
Continuous function
Counterexample
Curve
Degeneracy (mathematics)
Degrees of freedom (statistics)
Derivative
Determinant
Differentiable function
Differential equation
Dissipative system
Eigenvalues and eigenvectors
Equation
Existence theorem
Existential quantification
Exterior (topology)
First variation
Fixed-point theorem
Fundamental theorem
Geometry
Half-space (geometry)
Homeomorphism
Homotopy
Hyperbolic sector
Identity matrix
Imaginary number
Implicit function
Infimum and supremum
Integral curve
Interior (topology)
Intersection (set theory)
Interval (mathematics)
Invertible matrix
Jacobian matrix and determinant
Jordan curve theorem
Limit cycle
Limit point
Limit set
Line at infinity
Linear approximation
Linear differential equation
Linear equation
Linear map
Lipschitz continuity
Matrix (mathematics)
Monotonic function
N-vector
Nonlinear system
Ordinary differential equation
Parameter
Parametric equation
Parametrization
Partial derivative
Periodic function
Phase plane
Phase space
Point at infinity
Polynomial
Projective plane
Quantity
Saddle point
Scientific notation
Second derivative
Separatrix (mathematics)
Sign (mathematics)
Simultaneous equations
Singular perturbation
Special case
Submanifold
Summation
Tangent
Taylor series
Theorem
Theory
Topology
Vector field
Velocity
Zero of a function
ISBN 1-4008-8217-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- I. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS / Seifert, George -- II. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS / Markus, L. -- III. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS / Pinney, Edmund -- IV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER / Haas, Violet B. -- V. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION / Gomory, Ralph E. -- VI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE / Barocio, Samuel -- VII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION / Haas, Felix -- VIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS / Hufford, George -- IX. A FIXED POINT THEOREM / Kyner, Walter T. -- X. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Hufford, G. -- XI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Marcus, M. D. -- XII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM / Marcus, Marvin D. -- XIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM) / Diliberto, Stephen P. -- XIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM / Marcus, Marvin D. -- XV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS / Diliberto, Stephen P. -- XVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE / Koosis, Paul -- Backmatter
Record Nr. UNINA-9910154750203321
Lefschetz Solomon  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin
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
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Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin
Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin
Autore Freidlin Mark Iosifovich
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (557 pages)
Disciplina 515.3/53
Collana Annals of Mathematics Studies
Soggetto topico Differential equations, Partial
Probabilities
Integration, Functional
Soggetto non controllato A priori estimate
Absolute continuity
Almost surely
Analytic continuation
Axiom
Big O notation
Boundary (topology)
Boundary value problem
Bounded function
Calculation
Cauchy problem
Central limit theorem
Characteristic function (probability theory)
Chebyshev's inequality
Coefficient
Comparison theorem
Continuous function (set theory)
Continuous function
Convergence of random variables
Cylinder set
Degeneracy (mathematics)
Derivative
Differential equation
Differential operator
Diffusion equation
Diffusion process
Dimension (vector space)
Direct method in the calculus of variations
Dirichlet boundary condition
Dirichlet problem
Eigenfunction
Eigenvalues and eigenvectors
Elliptic operator
Elliptic partial differential equation
Equation
Existence theorem
Exponential function
Feynman–Kac formula
Fokker–Planck equation
Function space
Functional analysis
Fundamental solution
Gaussian measure
Girsanov theorem
Hessian matrix
Hölder condition
Independence (probability theory)
Integral curve
Integral equation
Invariant measure
Iterated logarithm
Itô's lemma
Joint probability distribution
Laplace operator
Laplace's equation
Lebesgue measure
Limit (mathematics)
Limit cycle
Limit point
Linear differential equation
Linear map
Lipschitz continuity
Markov chain
Markov process
Markov property
Maximum principle
Mean value theorem
Measure (mathematics)
Modulus of continuity
Moment (mathematics)
Monotonic function
Navier–Stokes equations
Nonlinear system
Ordinary differential equation
Parameter
Partial differential equation
Periodic function
Poisson kernel
Probabilistic method
Probability space
Probability theory
Probability
Random function
Regularization (mathematics)
Schrödinger equation
Self-adjoint operator
Sign (mathematics)
Simultaneous equations
Smoothness
State-space representation
Stochastic calculus
Stochastic differential equation
Stochastic
Support (mathematics)
Theorem
Theory
Uniqueness theorem
Variable (mathematics)
Weak convergence (Hilbert space)
Wiener process
ISBN 1-4008-8159-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- PREFACE -- INTRODUCTION -- I. STOCHASTIC DIFFERENTIAL EQUATIONS AND RELATED TOPICS -- II. REPRESENTATION OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AS FUNCTIONAL INTEGRALS AND THE STATEMENT OF BOUNDARY V A LU E PROBLEMS -- III. BOUNDARY VALUE PROBLEMS FOR EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- IV. SMALL PARAMETER IN SECOND-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS -- V. QUASI-LINEAR PARABOLIC EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- VI. QUASI-LINEAR PARABOLIC EQUATIONS WITH SMALL PARAMETER. WAVE FRONTS PROPAGATION -- VII. WAVE FRONT PROPAGATION IN PERIODIC AND RANDOM MEDIA -- LIST OF NOTATIONS -- REFERENCES -- Backmatter
Record Nr. UNINA-9910154753703321
Freidlin Mark Iosifovich  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Markov processes from K. Itô's perspective / / Daniel W. Stroock
Markov processes from K. Itô's perspective / / Daniel W. Stroock
Autore Stroock Daniel W.
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003
Descrizione fisica 1 online resource (289 p.)
Disciplina 519.2/33
Collana Annals of Mathematics Studies
Soggetto topico Markov processes
Stochastic difference equations
Soggetto non controllato Abelian group
Addition
Analytic function
Approximation
Bernhard Riemann
Bounded variation
Brownian motion
Central limit theorem
Change of variables
Coefficient
Complete metric space
Compound Poisson process
Continuous function (set theory)
Continuous function
Convergence of measures
Convex function
Coordinate system
Corollary
David Hilbert
Decomposition theorem
Degeneracy (mathematics)
Derivative
Diffeomorphism
Differentiable function
Differentiable manifold
Differential equation
Differential geometry
Dimension
Directional derivative
Doob–Meyer decomposition theorem
Duality principle
Elliptic operator
Equation
Euclidean space
Existential quantification
Fourier transform
Function space
Functional analysis
Fundamental solution
Fundamental theorem of calculus
Homeomorphism
Hölder's inequality
Initial condition
Integral curve
Integral equation
Integration by parts
Invariant measure
Itô calculus
Itô's lemma
Joint probability distribution
Lebesgue measure
Linear interpolation
Lipschitz continuity
Local martingale
Logarithm
Markov chain
Markov process
Markov property
Martingale (probability theory)
Normal distribution
Ordinary differential equation
Ornstein–Uhlenbeck process
Polynomial
Principal part
Probability measure
Probability space
Probability theory
Pseudo-differential operator
Radon–Nikodym theorem
Representation theorem
Riemann integral
Riemann sum
Riemann–Stieltjes integral
Scientific notation
Semimartingale
Sign (mathematics)
Special case
Spectral sequence
Spectral theory
State space
State-space representation
Step function
Stochastic calculus
Stochastic
Stratonovich integral
Submanifold
Support (mathematics)
Tangent space
Tangent vector
Taylor's theorem
Theorem
Theory
Topological space
Topology
Translational symmetry
Uniform convergence
Variable (mathematics)
Vector field
Weak convergence (Hilbert space)
Weak topology
ISBN 0-691-11542-7
1-4008-3557-7
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. Finite State Space, a Trial Run -- Chapter 2. Moving to Euclidean Space, the Real Thing -- Chapter 3. Itô's Approach in the Euclidean Setting -- Chapter 4. Further Considerations -- Chapter 5. Itô's Theory of Stochastic Integration -- Chapter 6. Applications of Stochastic Integration to Brownian Motion -- Chapter 7. The Kunita-Watanabe Extension -- Chapter 8. Stratonovich's Theory -- Notation -- References -- Index
Record Nr. UNINA-9910791958803321
Stroock Daniel W.  
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Markov processes from K. Itô's perspective / / Daniel W. Stroock
Markov processes from K. Itô's perspective / / Daniel W. Stroock
Autore Stroock Daniel W.
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003
Descrizione fisica 1 online resource (289 p.)
Disciplina 519.2/33
Collana Annals of Mathematics Studies
Soggetto topico Markov processes
Stochastic difference equations
Soggetto non controllato Abelian group
Addition
Analytic function
Approximation
Bernhard Riemann
Bounded variation
Brownian motion
Central limit theorem
Change of variables
Coefficient
Complete metric space
Compound Poisson process
Continuous function (set theory)
Continuous function
Convergence of measures
Convex function
Coordinate system
Corollary
David Hilbert
Decomposition theorem
Degeneracy (mathematics)
Derivative
Diffeomorphism
Differentiable function
Differentiable manifold
Differential equation
Differential geometry
Dimension
Directional derivative
Doob–Meyer decomposition theorem
Duality principle
Elliptic operator
Equation
Euclidean space
Existential quantification
Fourier transform
Function space
Functional analysis
Fundamental solution
Fundamental theorem of calculus
Homeomorphism
Hölder's inequality
Initial condition
Integral curve
Integral equation
Integration by parts
Invariant measure
Itô calculus
Itô's lemma
Joint probability distribution
Lebesgue measure
Linear interpolation
Lipschitz continuity
Local martingale
Logarithm
Markov chain
Markov process
Markov property
Martingale (probability theory)
Normal distribution
Ordinary differential equation
Ornstein–Uhlenbeck process
Polynomial
Principal part
Probability measure
Probability space
Probability theory
Pseudo-differential operator
Radon–Nikodym theorem
Representation theorem
Riemann integral
Riemann sum
Riemann–Stieltjes integral
Scientific notation
Semimartingale
Sign (mathematics)
Special case
Spectral sequence
Spectral theory
State space
State-space representation
Step function
Stochastic calculus
Stochastic
Stratonovich integral
Submanifold
Support (mathematics)
Tangent space
Tangent vector
Taylor's theorem
Theorem
Theory
Topological space
Topology
Translational symmetry
Uniform convergence
Variable (mathematics)
Vector field
Weak convergence (Hilbert space)
Weak topology
ISBN 0-691-11542-7
1-4008-3557-7
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. Finite State Space, a Trial Run -- Chapter 2. Moving to Euclidean Space, the Real Thing -- Chapter 3. Itô's Approach in the Euclidean Setting -- Chapter 4. Further Considerations -- Chapter 5. Itô's Theory of Stochastic Integration -- Chapter 6. Applications of Stochastic Integration to Brownian Motion -- Chapter 7. The Kunita-Watanabe Extension -- Chapter 8. Stratonovich's Theory -- Notation -- References -- Index
Record Nr. UNINA-9910809577703321
Stroock Daniel W.  
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller
Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller
Autore Kamvissis Spyridon
Edizione [Course Book]
Pubbl/distr/stampa Princeton, NJ, : Princeton University Press, c2003
Descrizione fisica 1 online resource (280 p.)
Disciplina 530.12/4
Altri autori (Persone) McLaughlinK. T-R <1969-> (Kenneth T-R)
MillerPeter D <1967-> (Peter David)
Collana Annals of mathematics studies
Soggetto topico Schrodinger equation
Wave mechanics
Soggetto non controllato Abelian integral
Analytic continuation
Analytic function
Ansatz
Approximation
Asymptote
Asymptotic analysis
Asymptotic distribution
Asymptotic expansion
Banach algebra
Basis (linear algebra)
Boundary (topology)
Boundary value problem
Bounded operator
Calculation
Cauchy's integral formula
Cauchy's integral theorem
Cauchy's theorem (geometry)
Cauchy–Riemann equations
Change of variables
Coefficient
Complex plane
Cramer's rule
Degeneracy (mathematics)
Derivative
Diagram (category theory)
Differentiable function
Differential equation
Differential operator
Dirac equation
Disjoint union
Divisor
Eigenfunction
Eigenvalues and eigenvectors
Elliptic integral
Energy minimization
Equation
Euler's formula
Euler–Lagrange equation
Existential quantification
Explicit formulae (L-function)
Fourier transform
Fredholm theory
Function (mathematics)
Gauge theory
Heteroclinic orbit
Hilbert transform
Identity matrix
Implicit function theorem
Implicit function
Infimum and supremum
Initial value problem
Integrable system
Integral curve
Integral equation
Inverse problem
Jacobian matrix and determinant
Kerr effect
Laurent series
Limit point
Line (geometry)
Linear equation
Linear space (geometry)
Logarithmic derivative
Lp space
Minor (linear algebra)
Monotonic function
Neumann series
Normalization property (abstract rewriting)
Numerical integration
Ordinary differential equation
Orthogonal polynomials
Parameter
Parametrix
Paraxial approximation
Parity (mathematics)
Partial derivative
Partial differential equation
Perturbation theory (quantum mechanics)
Perturbation theory
Pole (complex analysis)
Polynomial
Probability measure
Quadratic differential
Quadratic programming
Radon–Nikodym theorem
Reflection coefficient
Riemann surface
Simultaneous equations
Sobolev space
Soliton
Special case
Taylor series
Theorem
Theory
Trace (linear algebra)
Upper half-plane
Variational method (quantum mechanics)
Variational principle
WKB approximation
ISBN 1-299-44345-1
1-4008-3718-9
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Figures and Tables -- Preface -- Chapter 1. Introduction and Overview -- Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons -- Chapter 3. Semiclassical Soliton Ensembles -- Chapter 4. Asymptotic Analysis of the Inverse Problem -- Chapter 5. Direct Construction of the Complex Phase -- Chapter 6. The Genus - Zero Ansatz -- Chapter 7. The Transition to Genus Two -- Chapter 8. Variational Theory of the Complex Phase -- Chapter 9. Conclusion and Outlook -- Appendix A. H¨older Theory of Local Riemann-Hilbert Problems -- Appendix B. Near-Identity Riemann-Hilbert Problems in L2 -- Bibliography -- Index
Record Nr. UNINA-9910791959003321
Kamvissis Spyridon  
Princeton, NJ, : Princeton University Press, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 / / Morris W. Hirsch, Barry Mazur
Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 / / Morris W. Hirsch, Barry Mazur
Autore Hirsch Morris W.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (149 pages)
Disciplina 514/.224
Collana Annals of Mathematics Studies
Soggetto topico Piecewise linear topology
Manifolds (Mathematics)
Soggetto non controllato Affine transformation
Approximation
Associative property
Bijection
Bundle map
Classification theorem
Codimension
Coefficient
Cohomology
Commutative property
Computation
Convex cone
Convolution
Corollary
Counterexample
Diffeomorphism
Differentiable function
Differentiable manifold
Differential structure
Dimension
Direct proof
Division by zero
Embedding
Empty set
Equivalence class
Equivalence relation
Euclidean space
Existential quantification
Exponential map (Lie theory)
Fiber bundle
Fibration
Functor
Grassmannian
H-space
Homeomorphism
Homotopy
Integral curve
Inverse problem
Isomorphism class
K0
Linearization
Manifold
Mathematical induction
Milnor conjecture
Natural transformation
Neighbourhood (mathematics)
Normal bundle
Obstruction theory
Open set
Partition of unity
Piecewise linear
Polyhedron
Reflexive relation
Regular map (graph theory)
Sheaf (mathematics)
Smoothing
Smoothness
Special case
Submanifold
Tangent bundle
Tangent vector
Theorem
Topological manifold
Topological space
Topology
Transition function
Transitive relation
Vector bundle
Vector field
ISBN 1-4008-8168-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- REFERENCES -- CONTENTS -- SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS I: PRODUCTS / Hirsch, Morris W. -- SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS II: CLASSIFICATION / Hirsch, Morris W. / Mazur, Barry -- BIBLIOGRAPHY -- Backmatter
Record Nr. UNINA-9910154743503321
Hirsch Morris W.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin
The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin
Autore Boutet de Monvel L.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (168 pages)
Disciplina 515.7/246
Collana Annals of Mathematics Studies
Soggetto topico Toeplitz operators
Spectral theory (Mathematics)
Soggetto non controllato Algebraic variety
Asymptotic analysis
Asymptotic expansion
Big O notation
Boundary value problem
Change of variables
Chern class
Codimension
Cohomology
Compact group
Complex manifold
Complex vector bundle
Connection form
Contact geometry
Corollary
Cotangent bundle
Curvature form
Diffeomorphism
Differentiable manifold
Dimensional analysis
Discrete spectrum
Eigenvalues and eigenvectors
Elaboration
Elliptic operator
Embedding
Equivalence class
Existential quantification
Exterior (topology)
Fourier integral operator
Fourier transform
Hamiltonian vector field
Holomorphic function
Homogeneous function
Hypoelliptic operator
Integer
Integral curve
Integral transform
Invariant subspace
Lagrangian (field theory)
Lagrangian
Limit point
Line bundle
Linear map
Mathematics
Metaplectic group
Natural number
Normal space
One-form
Open set
Operator (physics)
Oscillatory integral
Parallel transport
Parameter
Parametrix
Periodic function
Polynomial
Projection (linear algebra)
Projective variety
Pseudo-differential operator
Q.E.D.
Quadratic form
Quantity
Quotient ring
Real number
Scientific notation
Self-adjoint
Smoothness
Spectral theorem
Spectral theory
Square root
Submanifold
Summation
Support (mathematics)
Symplectic geometry
Symplectic group
Symplectic manifold
Symplectic vector space
Tangent space
Theorem
Todd class
Toeplitz algebra
Toeplitz matrix
Toeplitz operator
Trace formula
Transversal (geometry)
Trigonometric functions
Variable (mathematics)
Vector bundle
Vector field
Vector space
Volume form
Wave front set
ISBN 1-4008-8144-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- §1. Introduction -- §2. GENERALIZED TOEPLITZ OPERATORS -- §3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE -- §4. THE METAPLECTIC REPRESENTATION -- §5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS -- §6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES -- §7. THE COMPOSITION THEOREM -- §8. THE PROOF OF THEOREM 7.5 -- §9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS -- §10. THE TRANSPORT EQUATION -- §11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS -- §12. THE TRACE FORMULA -- §13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS -- §14. THE HILBERT POLYNOMIAL -- §15. SOME CONCLUDING REMARKS -- BIBLIOGRAPHY -- APPENDIX: QUANTIZED CONTACT STRUCTURES -- Backmatter
Record Nr. UNINA-9910154743403321
Boutet de Monvel L.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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