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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Quantization and Non-holomorphic Modular Forms (Paperback, 2000 ed.)
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Quantization and Non-holomorphic Modular Forms (Paperback, 2000 ed.)
Series: Lecture Notes in Mathematics, 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)
General
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