Mehler-Fock transforms of generalized functions via the method of adjoints

DOI10.1090/S0002-9939-97-03957-9zbMath0888.46015OpenAlexW1590215344MaRDI QIDQ4372364

Benito J. González, Emilio R. Negrin

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03957-9

zbMATH Keywords

kernel methodgeneralized functionsMehler-Fock transformLegendre functionPaley-Wiener type theoremmethod of adjointsdistributions of compact support

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12)

Related Items

Product of pseudo-differential operators associated with zero order Mehler-Fock transform ⋮ Composition and commutator of pseudo-differential operators in the framework of zero-order Mehler-Fock transform domain ⋮ The convolution for zero-order Mehler–Fock transform and pseudo-differential operator ⋮ Thermodynamics and structure of simple liquids in the hyperbolic plane ⋮ Zero-order Mehler-Fock transform and Sobolev-type space ⋮ Reduction method for studying localized solutions of neural field equations on the Poincaré disk ⋮ Convolution for the mehler–fock transform of generalized functions

Cites Work

• The Mehler-Fock transform of distributions
• On the Convolution Theorem of the Mehler-Fock-Transform for a Class of Generalized Functions (I)
• On the Convolution Theorem of the Mehler-Fock-Transform for a Class of Generalized Functions (II)
• An inversion formula for the generalized Stieltjes transform
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