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

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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 ℝn.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Sciences, 560 012, Bangalore, India

    S Ganapathi Raman & R Vittal Rao

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  1. S Ganapathi Raman
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  2. R Vittal Rao
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Raman, S.G., Rao, R.V. Extended Kac-Akhiezer formulae and the Fredholm determinant of finite section Hilbert-Schmidt kernels. Proc. Indian Acad. Sci. (Math. Sci.) 104, 581–591 (1994). https://doi.org/10.1007/BF02867122

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  • DOI: https://doi.org/10.1007/BF02867122

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