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

Authors

  • S Ganapathi Raman
    • Department of MathematicsIndian Institute of Sciences
  • R Vittal Rao
    • Department of MathematicsIndian Institute of Sciences
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

Abstract

This paper deals with some results (known as Kac-Akhiezer formulae) on generalized Fredholm determinants for Hilbert-Schmidt operators onL 2-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 .

Keywords

Hilbert-Schmidt integral operator Fredholm determinant Kac-Akhiezer formula

Copyright information

© Indian Academy of Sciences 1994