Pseudodifferential Operators with Automorphic Symbols
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 tran...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2015.
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| Series: | Pseudo-Differential Operators, Theory and Applications,
11 |
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| Online Access: | Full Text via HEAL-Link |
| Summary: | 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. |
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| Physical Description: | X, 202 p. online resource. |
| ISBN: | 9783319186573 |
| ISSN: | 2297-0355 ; |