Index of nonlocal elliptic boundary value problems associated with isometric group actions

2019/12/21 by A. Yu. Savin, Savin, Anton
Mathematics · #58J20 58J32 #Advanced Operator Algebra Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1912.10272

openalex publication_date 2019/12/21 · openalex created_date 2019/12/26 · openalex updated_date 2026/07/28

Abstract

Given a compact manifold with boundary endowed with an isometric action of a discrete group of polynomial growth, we state an index theorem for elliptic elements in the algebra of nonlocal operators generated by the Boutet de Monvel algebra of pseudodifferential boundary value problems on the manifold and the shift operators associated with the group action.

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