Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups

Author:

Kumar Vishvesh1

Affiliation:

1. Department of Mathematics, Indian Institute of Technology Delhi, New Delhi110 016, India

Abstract

AbstractLet G be a compact Hausdorff group and let H be a closed subgroup of G. We introduce pseudo-differential operators with symbols on the homogeneous space {G/H}. We present a necessary and sufficient condition on symbols for which these operators are in the class of Hilbert–Schmidt operators. We also give a characterization of and a trace formula for the trace class pseudo-differential operators on the homogeneous space {G/H}.

Funder

Council of Scientific and Industrial Research

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Reference46 articles.

1. Pseudo-differential operators on the affine group;Pseudo-Differential Operators: Groups, Geometry and Applications,2017

2. Schatten classes and traces on compact groups;Math. Res. Lett.,2017

3. Abstract operator-valued Fourier transforms over homogeneous spaces of compact groups;Groups Geom. Dyn.,2017

4. Relative convolutions. I. Properties and applications;Adv. Math.,1999

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