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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| Published in | Integral transforms and special functions Vol. 15; no. 3; pp. 251 - 266 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
01.06.2004
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1065-2469 1476-8291 |
| DOI | 10.1080/10652460310001600591 |
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| Abstract | 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. |
|---|---|
| AbstractList | 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. |
| Author | Mahmoud, N. H. |
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| Cites_doi | 10.1090/S0002-9947-00-02451-X 10.1090/S0002-9947-1965-0181769-4 10.1007/BF01889609 10.1090/S0002-9947-1959-0107118-2 10.1103/PhysRev.100.412 |
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| Copyright | Copyright Taylor & Francis Group, LLC 2004 |
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| References | Haimo D. T. (b5) 1966; 15 Chebli H. (b2) 2004 b4 b6 Fahem N. H. (b3) 1985; 301 b7 b8 b1 |
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α
+ q) where Δ
α
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| StartPage | 251 |
| SubjectTerms | Gauss kernel and source solution Generalized Fourier transform Heat equation Heat polynomial Transmutation operator |
| Title | Heat equations associated with matrix singular differential operators and spectral theory |
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