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Pseudodifferential Operators with Automorphic Symbols (Pseudo-Differential Operators, 11) - Softcover
Synopsis
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.
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From the Back Cover
The main results of this book combine pseudodifferential analysis with modular form and L-function theory, with the help of explicit spectral-theoretic calculations. The starting point is a notion of modular distribution in the plane, which will be new to most readers and which, under the Radon transformation, relates to the classical notion of non-holomorphic modular form. Holomorphic modular forms are also briefly considered, within a general scheme that addresses quantization theory and elementary but novel representation-theoretic concepts.
Review
“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)
"About this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2015
- ISBN 10 3319186566
- ISBN 13 9783319186566
- BindingPaperback
- LanguageEnglish
- Number of pages212
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Pseudodifferential Operators with Automorphic Symbols.
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x, 202 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Sprache: Englisch. Seller Inventory # 2355CB
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Pseudodifferential Operators With Automorphic Symbols
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Pseudodifferential Operators with Automorphic Symbols (Pseudo-Differential Operators, 11)
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Pseudodifferential Operators with Automorphic Symbols
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Springer International Publishing, 2015
ISBN 10: 3319186566
ISBN 13: 9783319186566
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Pseudodifferential Operators with Automorphic Symbols (Pseudo-Differential Operators, 11)
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Pseudodifferential Operators with Automorphic Symbols (Pseudo-Differential Operators, 11)
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Pseudodifferential Operators with Automorphic Symbols
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Springer (India) Private Limited, 2015
ISBN 10: 3319186566
ISBN 13: 9783319186566
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Pseudodifferential Operators With Automorphic Symbols
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Pseudodifferential Operators with Automorphic Symbols
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Springer International Publishing Jun 2015, 2015
ISBN 10: 3319186566
ISBN 13: 9783319186566
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 216 pp. Englisch. Seller Inventory # 9783319186566
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