Pseudodifferential Operators with Automorphic Symbols
Andre Unterberger
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Description for Pseudodifferential Operators with Automorphic Symbols
Paperback. Pseudodifferential Operators with Automorphic Symbols Series: Pseudo-Differential Operators. Num Pages: 212 pages, biography. BIC Classification: PBH; PBKF. Category: (P) Professional & Vocational. Dimension: 240 x 168 x 12. Weight in Grams: 374.
The 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.
The 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.
Product Details
Format
Paperback
Publication date
2015
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
212
Condition
New
Series
Pseudo-Differential Operators
Number of Pages
202
Place of Publication
Basel, Switzerland
ISBN
9783319186566
SKU
V9783319186566
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Pseudodifferential Operators with Automorphic Symbols
“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.” (Đỗ Ngọc Diệp, Mathematical Reviews, December, 2015)