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Harmonic Analysis in Phase Space. (AM-122), Volume 122
Volume 122 in the series
Annals of Mathematics Studies
- Language: English
- Publisher: Princeton University Press
- Copyright year: 1989
- Audience: Professional and scholarly;College/higher education;
- Pages
- Main content: 288
- Keywords: Theorem; Heisenberg group; Lie algebra; Semigroup; Phase space; Symplectic group; Polynomial; Automorphism; Hamiltonian mechanics; Phase factor; Harmonic analysis; Wave packet; Hilbert space; Pseudo-differential operator; Observable; Fourier transform; Poisson bracket; Schrödinger equation; Eigenvalues and eigenvectors; State-space representation; Self-adjoint operator; Integral transform; Unitary representation; Fock space; Unitary operator; Hilbert transform; Unit vector; Quantum harmonic oscillator; Fourier analysis; Spectral theory; Number theory; Gaussian function; Projection (linear algebra); Lie superalgebra; Canonical transformation; Projective Hilbert space; Symplectic vector space; Classical mechanics; Representation theory; Hermitian symmetric space; Calculation; Gaussian integral; Orthonormal basis; Spectral theorem; Bounded operator; Commutative property; Geometric quantization; Cauchy–Riemann equations; Siegel disc; Oscillator representation; Hermite polynomials; Fourier integral operator; Symplectic geometry; Unitarity (physics); Partial differential equation; Antisymmetric tensor; Hamiltonian vector field; Canonical commutation relation; Irreducible representation; Configuration space; Tangent vector; Stone–Weierstrass theorem; Oscillatory integral; Unbounded operator; Ordinary differential equation; Asymptotic expansion; Equation; Quantum mechanics; Analytic continuation; Translational symmetry; Analytic function; Cayley transform; Projective representation; Point at infinity; Tangent space; Bilinear form; Stone's theorem; Differential geometry; Functional analysis; Symplectomorphism; Projective space; Symmetric space; Differential equation; Symmetric tensor; Variable (mathematics); Sobolev space; Several complex variables; Lebesgue measure; Quadratic function; Explicit formula; Lie theory; Differential operator; Invariant subspace; Complex analysis; Summation; Class function (algebra); Probability; Mathematical physics; Power series; Pullback (category theory)
eBook
- Published: March 2, 2016
- ISBN: 9781400882427
