Harmonic Analysis on Symmetric Spaces and Applications II (Harmonic Analysis on Symmetric Spaces and Applications (Pape) - Livres de poche

EAN (ISBN-13): 9780387966632
ISBN (ISBN-10): 0387966633
Livre de poche
Date de parution: 1988
Editeur: Springer

Livre dans la base de données depuis 2007-05-06T18:24:50+02:00 (Zurich)
Page de détail modifiée en dernier sur 2021-05-13T22:50:41+02:00 (Zurich)
ISBN/EAN: 0387966633

ISBN - Autres types d'écriture:
0-387-96663-3, 978-0-387-96663-2
Autres types d'écriture et termes associés:
Auteur du livre: terra, terras
Titre du livre: harmonic analysis symmetric spaces and applications, pape space

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Données de l'éditeur

Auteur: Audrey Terras
Titre: Harmonic Analysis on Symmetric Spaces and Applications II
Editeur: Springer; Springer US
385 Pages
Date de parution: 1988-08-01
New York; NY; US
Poids: 0,603 kg
Langue: Anglais
112,34 € (DE)
115,49 € (AT)
115,50 CHF (CH)
Not available, publisher indicates OP

BC; Book; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Gruppen und Gruppentheorie; Verstehen; integration; modular form; boundary element method; function; functions; differential operator; theorem; matrices; metric space; statistics; geometry; automorphic forms; Theta function; multivariate statistics; distribution; B; Topological Groups, Lie Groups; Mathematics and Statistics; EA; BB

of Volume II.- IV The Space Pnof Positiven×nMatrices.- 4.1. Geometry and Analysis on Pn.- 4.1.0. Introduction.- 4.1.1. Elementary Results.- 4.1.2. Geodesics and Arc Length.- 4.1.3. Measure and Integration on Pn.- 4.1.4. Differential Operators on Pn.- 4.1.5. A List of the Main Formulas Derived in Section 1.- 4.1.6. An Application to Multivariate Statistics.- 4.2. Special Functions on Pn.- 4.2.1. Power and Gamma Functions.- 4.2.2.K-Bessel Functions.- 4.2.3. Spherical Functions.- 4.2.4. The Wishart Distribution.- 4.3. Harmonic Analysis on Pnin Polar Coordinates.- 4.3.1. Properties of the Helgason-Fourier Transform on Pn.- 43.2. Beginning of the Discussion of Part (1) of Theorem 1—Steps 1 and 2.- 4.3.3. End of the Discussion of Part (1) of Theorem 1—Steps 3 and 4.- 4.3.4. Applications.- 4.3.5. Other Directions in the Labyrinth.- 4.4. Fundamental Domains for Pn/GL(n?).- 4.4.1. Introduction.- 4.4.2. Minkowski’s Fundamental Domain.- 4.4.3. Grenier’s Fundamental Domain.- 4.4.4. Integration over Fundamental Domains.- 4.5. Automorphic Forms forGL(n?) and Harmonic Analysis on Pn/GL(n?).- 4.5.1. Analytic Continuation of Eisenstein Series by the Method of Inserting.- Larger Parabolic Subgroups.- 4.5.2. Hecke Operators and Analytic Continuation ofL-Functions Associated to Modular Forms by the Method of Theta Functions.- 4.5.3. Fourier Expansions of Eisenstein Series.- 4.5.4. Remarks on Harmonic Analysis on the Fundamental Domain.- V The General Noncompact Symmetric Space.- 5.1. Geometry and Analysis onG/K.- 5.2. Geometry and Analysis on ?\\G/K.- Appendix Corrections to Volume I.- Bibliography for Volume II.