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OverviewThe main results of this book combine pseudo differential analysis with modular form theory. The methods rely for the most part on explicit spectral theory and the extended use of special functions. The starting point is a notion of modular distribution in the plane, which will be new to most readers and relates under the Radon transformation to the classical one of modular form of the non-holomorphic type. Modular forms of the holomorphic type are addressed too in a more concise way, within a general scheme dealing with quantization theory and elementary, but novel, representation-theoretic concepts. Full Product DetailsAuthor: André UnterbergerPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 2015 ed. Volume: 11 Dimensions: Width: 16.80cm , Height: 1.20cm , Length: 24.00cm Weight: 0.454kg ISBN: 9783319186566ISBN 10: 3319186566 Pages: 202 Publication Date: 26 June 2015 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction.- Basic modular distributions.- From the plane to the half-plane.- A short introduction to the Weyl calculus.- Composition of joint eigenfunctions of (...) and (...).- The sharp composition of modular distributions.- The operator with symbol (...).- from non-holomorphic to holomorphic modular forms.- Index.ReviewsThe book under review is devoted to developing a satisfactory Weyl calculus on the class of tempered automorphic distributions under the group SL(2, Z). ... The book is ... readable and is an interesting introduction to the subject. The main ideas are explained in detail and illustrated by exact computations. (Do Ngoc Diep, Mathematical Reviews, December, 2015) The book under review is devoted to developing a satisfactory Weyl calculus on the class of tempered automorphic distributions under the group SL(2, Z). ... The book is ... readable and is an interesting introduction to the subject. The main ideas are explained in detail and illustrated by exact computations. (Do Ngoc Diep, Mathematical Reviews, December, 2015) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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