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A distributional convolution for a generalized finite Fourier transformation
Author(s):
J.
J.
Betancor;
M.
Linares;
J.
M. R.
Méndez
Journal:
Proc. Amer. Math. Soc.
128
(2000),
547-556.
MSC (1991):
Primary 46F12
Posted:
July 6, 1999
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Abstract:
In this paper we define a generalized finite Fourier transformation in distribution spaces. Also we investigate a distributional convolution for this finite integral transformation.
References:
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- D. Judge, On Zemanian's distributional eigenfunction transform, J. Math. Anal. Appl. 34 (1971), 187-201. MR 43:909
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- R. S. Pathak, Orthogonal series representations for generalized functions, J. Math. Anal. Appl. 130 (1988), 316-333. MR 89c:46060
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Additional Information:
J.
J.
Betancor
Affiliation:
Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna, Tenerife, Islas Canarias, Spain
Email:
jbetanco@ull.es
M.
Linares
Affiliation:
Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna, Tenerife, Islas Canarias, Spain
J.
M. R.
Méndez
Affiliation:
Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna, Tenerife, Islas Canarias, Spain
DOI:
10.1090/S0002-9939-99-04999-0
PII:
S 0002-9939(99)04999-0
Keywords:
Convolution,
distribution,
Fourier transformation
Received by editor(s):
July 12, 1996
Received by editor(s) in revised form:
April 7, 1998
Posted:
July 6, 1999
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1999,
American Mathematical Society
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