Harmonic analysis in phase space. /
Collection : Am-122. Publié par : Princeton University Press, ([S.l.] :) Détails physiques : 288 p. ; 23 cm. ISBN :0691085285; 9780691085289.Type de document | Site actuel | Cote | Statut | Date de retour prévue | Code à barres | Réservations |
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Livre | La bibliothèque des Sciences Exactes et Naturelles | 530.13 FOL (Parcourir l'étagère) | Disponible | 0000000007768 |
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530.13 DAU Long-range interacting systems | 530.13 ERN Time, chance and reduction | 530.13 FEN Hydrodynamic limits and related topics | 530.13 FOL Harmonic analysis in phase space. / | 530.13 GAL Statistical mechanics :a short treatise | 530.13 HER Statistical physics : | 530.13 HER Statistical Physics : |
This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup.
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