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Heat equations associated with matrix singular differential operators and spectral theory

The main subject of this paper is the study of the heat functions and the Gauss kernel associated with the operator (Δ α + q) where Δ α is the Bessel operator with matricial coefficients and q is an n × n matrix valued function. For this purpose we use the properties of its eigenfunctions and some...

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Bibliographic Details
Published in	Integral transforms and special functions Vol. 15; no. 3; pp. 251 - 266
Main Author	Mahmoud, N. H.
Format	Journal Article
Language	English
Published	Taylor & Francis Group 01.06.2004
Subjects	Gauss kernel and source solution Generalized Fourier transform Heat equation Heat polynomial Transmutation operator
Online Access	Get full text
ISSN	1065-2469 1476-8291
DOI	10.1080/10652460310001600591

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Summary:	The main subject of this paper is the study of the heat functions and the Gauss kernel associated with the operator (Δ α + q) where Δ α is the Bessel operator with matricial coefficients and q is an n × n matrix valued function. For this purpose we use the properties of its eigenfunctions and some integral transforms.
ISSN:	1065-2469 1476-8291
DOI:	10.1080/10652460310001600591