Elliptic operators associated with groups of quantized canonical transformations

DOI10.1070/RM9830zbMath1405.58004MaRDI QIDQ4558121

A. Yu. Savin, Elmar Schrohe, B. Yu. Sternin

Publication date: 21 November 2018

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

Fredholm theoremgroups of quantized canonical transformations

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Elliptic equations on manifolds, general theory (58J05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Exotic index theories on manifolds (58J22) Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) PDEs on manifolds (35R01)

Related Items (4)

Class of Fredholm Boundary Value Problems for the Wave Equation with Conditions on the Entire Boundary ⋮ Lie groupoids, pseudodifferential calculus, and index theory ⋮ Elliptic \(\mathbb{Z}\)-operators associated with the metaplectic group ⋮ Analytic and algebraic indices of elliptic operators associated with discrete groups of quantized canonical transformations

Cites Work

• Elliptic theory and noncommutative geometry. Nonlocal elliptic operators
• Fourier integral operators and the canonical operator
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