LIBROS DEL AUTOR: andre unterberger

6 resultados para LIBROS DEL AUTOR: andre unterberger

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  • Pseudodifferential Methods in Number Theory
    André Unterberger
    Classically developed as a tool for partial differential equations, the analysis of operators known as pseudodifferential analysis is here regarded as a possible help in questions of arithmetic. The operators which make up the main subject of the book can be characterized in terms of congruence arithmetic. They enjoy a Eulerian structure, and are applied to the search for new c...
    Disponible

    86,72 €

  • Pseudodifferential Operators with Automorphic Symbols
    André Unterberger
    The main results of this book combine pseudo differential analysis with modular form theory. The methods rely for the most part on explicit spectral theory and the extended use of special functions. The starting point is a notion of modular distribution in the plane, which will be new to most readers and relates under the Radon transformation to the classical one of modular for...
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    66,64 €

  • Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi
    André Unterberger
    Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2002. The subject of this book is the study of automorphic distributions, by which is meant distributions on R2 invariant under the linear action of SL(2,Z), and of the operators associated with such distributions under the Weyl rule of symbolic calculus. Researchers and postgraduates inte...
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    66,44 €

  • Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms
    André Unterberger
    Introduction.- The Weyl calculus.- The Radon transformation and applications.- Automorphic functions and automorphic distributions.- A class of Poincaré series.- Spectral decomposition of the Poincaré summation process.- The totally radial Weyl calculus and arithmetic.- Should one generalize the Weyl calculus to an adelic setting?.- Index of notation.- Subject Index.- Bibliogra...
    Disponible

    122,81 €

  • Alternative Pseudodifferential Analysis
    André Unterberger
    This volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modular forms of the holomorphic and substitute for the u...
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    60,87 €

  • Quantization and Arithmetic
    André Unterberger
    (12) (4) Let ? be the unique even non-trivial Dirichlet character mod 12, and let ? be the unique (odd) non-trivial Dirichlet character mod 4. Consider on the line the distributions m (12) ? d (x)= ? (m)? x? , even 12 m?Z m (4) d (x)= ? (m)? x? . (1.1) odd 2 m?Z 2 i?x UnderaFouriertransformation,orundermultiplicationbythefunctionx ? e , the?rst(resp. ...
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    85,35 €