Proceedings of the Indian Academy of Sciences - Mathematical Sciences

, Volume 104, Issue 3, pp 581–591

Extended Kac-Akhiezer formulae and the Fredholm determinant of finite section Hilbert-Schmidt kernels

  • S Ganapathi Raman
  • R Vittal Rao
Article

DOI: 10.1007/BF02867122

Cite this article as:
Raman, S.G. & Rao, R.V. Proc. Indian Acad. Sci. (Math. Sci.) (1994) 104: 581. doi:10.1007/BF02867122
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Abstract

This paper deals with some results (known as Kac-Akhiezer formulae) on generalized Fredholm determinants for Hilbert-Schmidt operators onL2-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 ℝn.

Keywords

Hilbert-Schmidt integral operatorFredholm determinantKac-Akhiezer formula

Copyright information

© Indian Academy of Sciences 1994

Authors and Affiliations

  • S Ganapathi Raman
    • 1
  • R Vittal Rao
    • 1
  1. 1.Department of MathematicsIndian Institute of SciencesBangaloreIndia