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Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland
| 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.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach
| Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach |
| Autore | Roach G. F (Gary Francis) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina | 531/.1133 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Waves - Mathematics
Scattering (Physics) - Mathematics Perturbation (Mathematics) |
| Soggetto non controllato |
Acoustic wave equation
Acoustic wave Affine space Angular frequency Approximation Asymptotic analysis Asymptotic expansion Banach space Basis (linear algebra) Bessel's inequality Boundary value problem Bounded operator C0-semigroup Calculation Characteristic function (probability theory) Classical physics Codimension Coefficient Continuous function (set theory) Continuous function Continuous spectrum Convolution Differentiable function Differential equation Dimension (vector space) Dimension Dimensional analysis Dirac delta function Dirichlet problem Distribution (mathematics) Duhamel's principle Eigenfunction Eigenvalues and eigenvectors Electromagnetism Equation Existential quantification Exponential function Floquet theory Fourier inversion theorem Fourier series Fourier transform Fredholm integral equation Frequency domain Helmholtz equation Hilbert space Initial value problem Integral equation Integral transform Integration by parts Inverse problem Inverse scattering problem Lebesgue measure Linear differential equation Linear map Linear space (geometry) Locally integrable function Longitudinal wave Mathematical analysis Mathematical physics Metric space Operator theory Ordinary differential equation Orthonormal basis Orthonormality Parseval's theorem Partial derivative Partial differential equation Phase velocity Plane wave Projection (linear algebra) Propagator Quantity Quantum mechanics Reflection coefficient Requirement Riesz representation theorem Scalar (physics) Scattering theory Scattering Scientific notation Self-adjoint operator Self-adjoint Series expansion Sine wave Spectral method Spectral theorem Spectral theory Square-integrable function Subset Theorem Theory Time domain Time evolution Unbounded operator Unitarity (physics) Vector space Volterra integral equation Wave function Wave packet Wave propagation |
| ISBN |
1-282-15878-3
9786612158780 1-4008-2816-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Outline of Contents -- Chapter Two. Some Aspects of Waves on Strings -- Chapter Three. Mathematical Preliminaries -- Chapter Four. Spectral Theory and Spectral Decompositions -- Chapter Five. On Nonautonomous Problems -- Chapter Six. On Scattering Theory Strategies -- Chapter Seven. Echo Analysis -- Chapter Eight. Wave Scattering from Time-Periodic Perturbations -- Chapter Nine Concerning Inverse Problems -- Chapter Ten. Some Remarks on Scattering in Other Wave Systems -- Chapter Eleven. Commentaries and Appendices -- Bibliography -- Index |
| Record Nr. | UNINA-9910778218403321 |
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Roach G. F (Gary Francis)
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| Princeton, N.J., : Princeton University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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