Canonical transforms. II. Complex radial transforms

DOI10.1063/1.1666590zbMath0292.44006OpenAlexW2038261995MaRDI QIDQ4043556

Kurt Bernardo Wolf

Publication date: 1974

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/748075915685a9157df5d945776e04b0210422cb

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items

Linear and radial canonical transforms of fractional order, Fractional operators and special functions. II. Legendre functions, The generalized Kontorovich-Lebedev transform and associated operators, Hankel-type integral transforms and their fractionalization: a note, Hardy type theorems for linear canonical Dunkl transform, Lie theory and separation of variables. 7. The harmonic oscillator in elliptic coordinates and Ince polynomials, Canonical transforms. III. Configuration and phase descriptions of quantum systems possessing an s l (2,R) dynamical algebra, Clifford algebras, Fourier transforms, and quantum mechanics, A unified class of integral transforms related to the Dunkl transform, On self-reciprocal functions under a class of integral transforms, Fast Algorithms for Digital Computation of Linear Canonical Transforms, Development of Linear Canonical Transforms: A Historical Sketch, The Linear Canonical Transformation: Definition and Properties, Canonical transforms. IV. Hyperbolic transforms: Continuous series of SL(2,R) representations, Invariant inner products on spaces of solutions of the Klein–Gordon and Helmholtz equations, The unitary irreducible representations of SL(2, R) in all subgroup reductions, Canonical Hankel wavelet transformation and Calderón’s reproducing formula

Cites Work

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• Properties of Higher-Order Commutator Products and the Baker-Hausdorff Formula
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