Quantization and Non-holomorphic Modular Forms
This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one le...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2000, 2000
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| Edition: | 1st ed. 2000 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Distributions associated with the non-unitary principal series
- Modular distributions
- The principal series of SL(2, ?) and the Radon transform
- Another look at the composition of Weyl symbols
- The Roelcke-Selberg decomposition and the Radon transform
- Recovering the Roelcke-Selberg coefficients of a function in L 2(???)
- The “product” of two Eisenstein distributions
- The roelcke-selberg expansion of the product of two eisenstein series: the continuous part
- A digression on kloosterman sums
- The roelcke-selberg expansion of the product of two eisenstein series: the discrete part
- The expansion of the poisson bracket of two eisenstein series
- Automorphic distributions on ?2
- The Hecke decomposition of products or Poisson brackets of two Eisenstein series
- A generating series of sorts for Maass cusp-forms
- Some arithmetic distributions
- Quantization, products and Poisson brackets
- Moving to the forward light-cone: the Lax-Phillips theory revisited
- Automorphic functions associated with quadratic PSL(2, ?)-orbits in P 1(?)
- Quadratic orbits: a dual problem