ASYMPTOTICS OF A TAU-FUNCTION AND TOEPLITZ DETERMINANTS WITH SINGULAR GENERATING FUNCTIONS

Author:

BASOR ESTELLE L.1,TRACY CRAIG A.2

Affiliation:

1. Department of Mathematics, California Polytechnic State University, San Luis Obispo, CA 93407, USA

2. Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606, Japan

Abstract

We compute the short distance asymptotics of a tau-fucntion appearing in the work of Sato, Miwa, and Jimbo on holonomic quantum fields, We show that these asymptotics are determined by the Widom operator. This same operator is fundamental in the asymptotics of Toeplitz determinants with singular generating fucntions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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