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Index of Elliptic Boundary Value Problems Associated with Isometric Group Actions
Russian Journal of Mathematical Physics ( IF 1.7 ) Pub Date : 2020-09-01 , DOI: 10.1134/s1061920820030048 A. V. Boltachev , A. Yu. Savin
中文翻译:
等距群作用与椭圆边值问题索引
更新日期:2020-09-01
Russian Journal of Mathematical Physics ( IF 1.7 ) Pub Date : 2020-09-01 , DOI: 10.1134/s1061920820030048 A. V. Boltachev , A. Yu. Savin
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.中文翻译:
等距群作用与椭圆边值问题索引