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Mehler-Fock transforms of generalized functions via the method of adjoints
Author(s):
Benito
J.
González;
Emilio
R.
Negrin
Journal:
Proc. Amer. Math. Soc.
125
(1997),
3243-3253.
MSC (1991):
Primary 44A15, 46F12
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Abstract:
In this paper we analyse the Mehler-Fock transform of generalized functions via the method of adjoints. For a distribution of compact support, we prove that its Mehler-Fock transform agrees with its transform via the kernel method. A Paley-Wiener type theorem is established.
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Additional Information:
Benito
J.
González
Affiliation:
Departamento de Análisis Matemático, Universidad de La Laguna, 38271 Canary Islands, Spain
Emilio
R.
Negrin
Affiliation:
Departamento de Análisis Matemático, Universidad de La Laguna, 38271 Canary Islands, Spain
Email:
bjglez@ull.es, enegrin@ull.es
DOI:
10.1090/S0002-9939-97-03957-9
PII:
S 0002-9939(97)03957-9
Keywords:
Mehler-Fock transform,
Legendre function,
generalized functions,
distributions of compact support,
Paley-Wiener type theorem
Received by editor(s):
January 2, 1996
Received by editor(s) in revised form:
April 24, 1996
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1997,
American Mathematical Society
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