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Global analysis in modern theory of differential equations
February 12, 2020 12:00–13:30, Moscow
 


Index problem for the metaplectic group. I.

A. Yu. Savin

Peoples' Friendship University of Russia, Moscow

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Abstract: We consider nonlocal elliptic operators in spaces of functions in $\mathbb{R}^n$, generated by differential operators and quantizations of linear canonical transformations. This theory includes as special cases, noncommutative tori of A.Connes, shift and dilation operators, etc. We explain index formulas, recently obtained in a joint work with Prof. E.Schrohe (Hannover).
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