Extended kac-akhiezer formulae and the fredholm determinant of finite section hilbert-schmidt kernels

Raman, SG and Rao, RV (1994) Extended kac-akhiezer formulae and the fredholm determinant of finite section hilbert-schmidt kernels. In: Proceedings of the indian academy of sciences -mathematical sciences, 104 (3). pp. 581-591.

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Abstract

This paper deals with some results (known as Kac-Akhiezer formulae) on generalized Fredholm determinants for Hilbert-Schmidt operators on L2-spaces, available in the literature for convolution kernels on intervals. The Kac-Akhiezer formulae have been obtained for kernels which are not necessarily of convolution nature and for domains in R(n).

Item Type:	Journal Article
Publication:	Proceedings of the indian academy of sciences -mathematical sciences
Publisher:	Indian academy of sciences
Additional Information:	Copyright of this article belongs to Indian academy of sciences.
Keywords:	Hilbert-schmidt integral operator;fredholm determinant; kac-akhiezer formula.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	13 Apr 2011 05:50
Last Modified:	13 Apr 2011 05:50
URI:	http://eprints.iisc.ac.in/id/eprint/36465

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