Asymptotic equivariant index of Toeplitz operators on the sphere

DOI10.2977/PRIMS/33zbMath1215.58011OpenAlexW2069221255MaRDI QIDQ533370

Louis Boutet de Monvel

Publication date: 3 May 2011

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/33

zbMATH Keywords

indexToeplitz operatorsequivariant K-theorycontact manifolds

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Index theory and related fixed-point theorems on manifolds (58J20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Contact manifolds (general theory) (53D10) Equivariant (K)-theory (19L47) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

• Vector partition functions and index of transversally elliptic operators
• Vector partition functions and generalized Dahmen and Micchelli spaces
• Elliptic operators and compact groups
• On the index of Toeplitz operators of several complex variables
• Fourier integral operators. I
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem
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