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Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui