Quantization and Non-holomorphic Modular Forms (Lecture Notes in Mathematics, 1742, Band 1742)
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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 lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z). TOC:Introduction. Distributions associated with the non-unitary principal series. Modular distribution. The principal series of SL(2,R) 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 L2 of the fundamental domain. 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 R2. 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 ....x, 258 S. X, 258 p. 235 mmVersandfertig in 3-5 Tagen, Softcover.

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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 lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z). Soft cover.

Lieferung aus: Deutschland, Lagernd, zzgl. Versandkosten.
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 lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z). eBook.

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Paperback. 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-Se.Shipping may be from our UK, US or Australian warehouse depending on stock availability. This item is printed on demand. 258 pages. 0.381.

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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 lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z).

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 lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z).

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