Geschäftskunden Kundenprogramme
Vor Ort
Merkzettel Warenkorb
  • Produktbild: Compactifications of Symmetric Spaces
  • Produktbild: Compactifications of Symmetric Spaces
Band 156

Compactifications of Symmetric Spaces

Aus der Reihe Progress in Mathematics

Fr. 72.90

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

26.08.1998

Verlag

Birkhäuser Boston

Seitenzahl

286

Maße (L/B/H)

24.1/16/2.2 cm

Gewicht

600 g

Auflage

1998

Sprache

Englisch

ISBN

978-0-8176-3899-3

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

26.08.1998

Verlag

Birkhäuser Boston

Seitenzahl

286

Maße (L/B/H)

24.1/16/2.2 cm

Gewicht

600 g

Auflage

1998

Sprache

Englisch

ISBN

978-0-8176-3899-3

Herstelleradresse

Springer-Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

Email: GPSR Kontakt

Noch keine Bewertungen vorhanden

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.

Kundinnen und Kunden meinen

Bewertungen (0)
  • Produktbild: Compactifications of Symmetric Spaces
  • Produktbild: Compactifications of Symmetric Spaces
  • I. Introduction.- Statement of the main new results.- Characterizations of the compactification $${\bar X^{SF}}$$.- The Karpelevi? compactification $${\bar X^K}$$.- Fibers of maps between the compactifications.- Application to Brownian motion.- Eigenfunctions and Martin’s method.- Methods of proof.- Open problems.- Conventions.- Study guide.- II. Subalgebras and parabolic subgroups.- The Iwasawa and Cartan decompositions.- Parabolic subgroups.- Subsets of ? and Lie subalgebras.- The Langlands decomposition of PI and the symmetric space XI.- Bruhat decompositions.- III. Geometrical constructions of compactifications.- The conic compactification $${\bar X^c}$$.- The conical decomposition of a and the Weyl group.- Parabolic subgroups and stabilizers of the points in X(?).- Flats through the base point and Proposition 3.8.- The Tits building ?(G) of G and its geometrical realization ?(X).- The polyhedral compactification of a flat.- The dual cell complex ?*(X).- The dual cell compactification X ? ?*(X).- IV. The Satake—Furstenberg compactifications.- Finite dimensional representations.- Weights and highest weights.- Representation and parabolic subgroups.- Satake compactifications.- Furstenberg compactifications.- V. The Karpelevi? compactification.- The Karpelevi? compactification.- Convergence in the Karpelevi? topology restricted to a flat.- The Karpelevi? compactification of a.- The Karpelevi? topology is compact.- The relation between the Karpelevi? compactification, conical and dual cell compactifications.- A characterization of the Karpelevi? compactification.- VI. Martin compactifications.- The Martin compactification.- Convergence of Brownian motion.- Extension of the group action to the Martin compactification.- The Martin compactification for a random walk.- VII. The Martin compactification X ? ?X(?0).- The Laplacian in horocyclic coordinates.- Generalized horocyclic coordinates and the Laplacian.- Computation of the limit functions: reduction.- The limit of a CI-canonical sequence.- Classification of limit functions and the topology of X ? ?X(?0).- VIII. The Martin compactification X ? ?X(?).- The case of X = SL(n, ?)/SU(n) for ? < ?0.- Computation of the limit functions for a general semisimple group.- Determination of the Martin compactification.- Bounded harmonic functions on X.- An application to convergence of Brownian motion.- IX. An intrinsic approach to the boundaries of X.- The space of closed subgroups.- Limit groups.- Limits of group spheres.- Parabolic subgroups and boundary theory.- The maximal Furstenberg compactification.- X. Compactification via the ground state.- The twisted action.- Compactification of X via the ground state.- XI. Harnack inequality, Martin’s method and the positive spectrum for random walks.- Basic notations.- Cones with compact bases and the Harnack inequality.- Martin’s method for a random walk.- The positive spectrum of a random walk.- The fixed line property.- Formulas for r(p),r0(p).- Outline of the following chapters.- XII. The Furstenberg boundary and bounded harmonic functions.- Basic notations.- The mean-value property.- Harmonic functions and the mean-value property.- Convergence theorems for harmonic functions.- The Poisson formula for random walks.- XIII. Integral representation of positive eigenfunctions of convolution operators.- The main result of this chapter.- An extension of the main result.- Analytic determination of the minimal eigenfunctions of the Laplacian.- The Busemann cocycle and a geometrical determination of the minimal eigenfunctions of the Laplacian.- Minimal eigenfunctions for random walks.- XIV. Random walks and ground state properties.- Basic definitions and properties.- Convolution.- Spherical functions and minimal eigenfunctions.- Ground state properties.- Random walks, eigenfunctions of the Laplacian and X ? ?X(?0).- The Martin compactification of X determined by a random walk.- An application to parabolic subgroups.- XV. Extension to semisimple algebraic groups defined over a local field.- Some notations and fundamental properties.- Extension of the main results of Chapters XII, XIII, XIV.- Appendix A.- Appendix B.- List of symbols.