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＜E-Book＞
Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi / by André Unterberger
(Progress in Mathematics. ISSN:2296505X ; 209)

Edition	1st ed. 2003.
Publisher	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
Year	2003
Language	English
Size	IX, 246 p : online resource
Authors	*Unterberger, André author SpringerLink (Online service)
Subjects	LCSH:Operator theory LCSH:Topological groups LCSH:Lie groups LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Differential equations LCSH:Number theory LCSH:Quantum physics FREE:Operator Theory FREE:Topological Groups and Lie Groups FREE:Global Analysis and Analysis on Manifolds FREE:Differential Equations FREE:Number Theory FREE:Quantum Physics
Notes	1 Introduction -- 1 Automorphic Distributions and the Weyl Calculus -- 2 he Weyl calculus, the upper half-plane, and automorphic distributions -- 3 Eisenstein distributions, Dirac’s comb and Bezout’s distribution -- 4 The structure of automorphic distributions -- 5 The main formula: a heuristic approach -- 2 A Higher-level Weyl Calculus of Operators -- 6 A tamer version of the Weyl calculus: the horocyclic calculus -- 7 The higher-level metaplectic representations -- 8 The radial parts of relativistic wave operators -- 9 The higher-level Weyl calculi -- 10 Can one compose two automorphic operators? -- 11 The sharp product of two power-functions: the Weyl case -- 12 Beyond the symplectic group -- 3 The Sharp Composition of Automorphic Distributions -- 13 The Roelcke-Selberg expansion of functions associated with $$\mathfrak{E}_{{{{\nu }_{1}}}}^{\sharp }\# \mathfrak{E}_{{\nu 2}}^{\sharp }$$ the continuous part -- 14 The Roelcke-Selberg expansion of functions associated with $$\mathfrak{E}_{{{{\nu }_{1}}}}^{\sharp }\# \mathfrak{E}_{{\nu 2}}^{\sharp }$$ the discrete part -- 15 A proof of the main formula -- 16 Towards the completion of the multiplication table -- 4 Further Perspectives -- 17 Another way to compose Weyl symbols -- 18 Odd automorphic distributions and modular forms of non-zero weight -- 19 New perspectives and problems in quantization theory -- Index of Notation HTTP:URL=https://doi.org/10.1007/978-3-0348-7978-1

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