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Abstract
A construction of the heat kernel diagonal is considered as element of generalized zeta function theory, which gradient at the origin defines determinant of a differential operator in a technique for regularizing quadratic path integral. Some classes of explicit expressions of the Green function in the case of finite-gap potential coefficient of the heat equation are constructed. An algorithm and program for Mathematica are presented for a subclass directly linked to hyperelliptic functions.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
APPLIED MATHEMATICS AND COMPUTATION
no. 219,
edition 11,
pages 6084 - 6092,
ISSN: 0096-3003 - Language:
- English
- Publication year:
- 2013
- Bibliographic description:
- Kwiatkowski G., Leble S.: Green function diagonal for a class of heat equations// APPLIED MATHEMATICS AND COMPUTATION. -Vol. 219, iss. 11 (2013), s.6084-6092
- Verified by:
- Gdańsk University of Technology
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