Pseudodifferential Operators with Automorphic Symbols by Andr Unterberger
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.-
Functional Analysis Methods for Reliability Models
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Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms
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The Localization Problem in Index Theory of Elliptic Operators
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Symplectic Methods in Harmonic Analysis and in Mathematical Physics
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Solvable Algebras of Pseudodifferential Operators
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The Weyl Operator and its Generalization
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Quantization and Arithmetic
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Pseudodifferential Methods in Number Theory
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Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
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Discrete Fourier Analysis
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Pricing Derivatives Under Levy Models
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Pseudo-Differential Operators and Symmetries
“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)
| SKU | Unavailable |
| ISBN 13 | 9783319186566 |
| ISBN 10 | 3319186566 |
| Title | Pseudodifferential Operators with Automorphic Symbols |
| Author | Andr Unterberger |
| Series | Pseudo-Differential Operators |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Birkhauser Verlag AG |
| Year published | 2015-06-26 |
| Number of pages | 202 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |