Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi: 209 (Progress in Mathematics, 209) - Hardcover

Unterberger, André

 
9783764369095: Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi: 209 (Progress in Mathematics, 209)

Synopsis

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2002. The subject of this book is the study of automorphic distributions, by which is meant distributions on R2 invariant under the linear action of SL(2,Z), and of the operators associated with such distributions under the Weyl rule of symbolic calculus. Researchers and postgraduates interested in pseudodifferential analyis, the theory of non-holomorphic modular forms, and symbolic calculi will benefit from the clear exposition and new results and insights.

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Synopsis

Main subject of this monograph is the study of automorphic distributions, and of the operators associated with such distributions under the Weyl rule of symbolic calculus. The concept of quantization pervades the whole book: an entirely new approach to composition formulas, in general, is needed, and the main lines of some new program in this direction are indicated.

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