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  • 1
    Online-Ressource
    Online-Ressource
    Analysis on Lie Groups with Polynomial Growth (2003)
    Boston, MA :Birkhäuser Boston,
    Details
    UID:
    almahu_9947362994502882
    Umfang: VIII, 312 p. , online resource.
    ISBN: 9781461220626
    Serie: Progress in Mathematics ; 214
    Inhalt: Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory of second-order, right invariant, elliptic operators on a large class of manifolds: Lie groups with polynomial growth. In systematically developing the analytic and algebraic background on Lie groups with polynomial growth, it is possible to describe the large time behavior for the semigroup generated by a complex second-order operator with the aid of homogenization theory and to present an asymptotic expansion. Further, the text goes beyond the classical homogenization theory by converting an analytical problem into an algebraic one. This work is aimed at graduate students as well as researchers in the above areas. Prerequisites include knowledge of basic results from semigroup theory and Lie group theory.
    Anmerkung: I Introduction -- II General Formalism -- II.1 Lie groups and Lie algebras -- II.2 Subelliptic operators -- II.3 Subelliptic kernels -- II.4 Growth properties -- II.5 Real operators -- II.6 Local bounds on kernels -- II.7 Compact groups -- II.8 Transference method -- II.9 Nilpotent groups -- II.10 De Giorgi estimates -- II.11 Almost periodic functions -- II.12 Interpolation -- Notes and Remarks -- III Structure Theory -- III.1 Complementary subspaces -- III.2 The nilshadow; algebraic structure -- III.3 Uniqueness of the nilshadow -- III.4 Near-nilpotent ideals -- III.5 Stratified nilshadow -- III.6 Twisted products -- III.7 The nilshadow; analytic structure -- Notes and Remarks -- IV Homogenization and Kernel Bounds -- IV.1 Subelliptic operators -- IV.2 Scaling -- IV.3 Homogenization; correctors -- IV.4 Homogenized operators -- IV.5 Homogenization; convergence -- IV.6 Kernel bounds; stratified nilshadow -- IV.7 Kernel bounds; general case -- Notes and Remarks -- V Global Derivatives -- V.1 L2-bounds -- V.2 Gaussian bounds -- V.3 Anomalous behaviour -- Notes and Remarks -- VI Asymptotics -- VI. 1 Asymptotics of semigroups -- VI.2 Asymptotics of derivatives -- Notes and Remarks -- Appendices -- A.1 De Giorgi estimates -- A.2 Morrey and Campanato spaces -- A.3 Proof of Theorem II.10.5 -- A.4 Rellich lemma -- Notes and Remarks -- References -- Index of Notation.
    In: Springer eBooks
    Weitere Ausg.: Printed edition: ISBN 9780817632250
    Sprache: Englisch
    DOI: 10.1007/978-1-4612-2062-6
    URL: http://dx.doi.org/10.1007/978-1-4612-2062-6
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    Open Access Wunsch
    HU Berlin
  • 2
    Online-Ressource
    Online-Ressource
    Analysis on Lie Groups with Polynomial Growth (2003)
    Boston, MA : Birkhäuser Boston
    Details
    UID:
    b3kat_BV042419974
    Umfang: 1 Online-Ressource (VIII, 312 p)
    ISBN: 9781461220626 , 9780817632250
    Serie: Progress in Mathematics 214
    Anmerkung: Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory of second-order, right invariant, elliptic operators on a large class of manifolds: Lie groups with polynomial growth. In systematically developing the analytic and algebraic background on Lie groups with polynomial growth, it is possible to describe the large time behavior for the semigroup generated by a complex second-order operator with the aid of homogenization theory and to present an asymptotic expansion. Further, the text goes beyond the classical homogenization theory by converting an analytical problem into an algebraic one. This work is aimed at graduate students as well as researchers in the above areas. Prerequisites include knowledge of basic results from semigroup theory and Lie group theory
    Sprache: Englisch
    Schlagwort(e): Lie-Gruppe ; Harmonische Analyse ; Partielle Differentialgleichung ; Asymptotik ; Homogenisierung
    DOI: 10.1007/978-1-4612-2062-6
    URL: Volltext
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    Online Zugang
    Open Access Wunsch
    BTU Cottbus
  • 3
    Online-Ressource
    Online-Ressource
    Analysis on Lie Groups with Polynomial Growth (2003)
    Boston, MA : Birkhäuser Boston
    Details
    UID:
    gbv_1655448544
    Umfang: Online-Ressource (VIII, 312p, online resource)
    ISBN: 9781461220626
    Serie: Progress in Mathematics 214
    Inhalt: Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory of second-order, right invariant, elliptic operators on a large class of manifolds: Lie groups with polynomial growth. In systematically developing the analytic and algebraic background on Lie groups with polynomial growth, it is possible to describe the large time behavior for the semigroup generated by a complex second-order operator with the aid of homogenization theory and to present an asymptotic expansion. Further, the text goes beyond the classical homogenization theory by converting an analytical problem into an algebraic one. This work is aimed at graduate students as well as researchers in the above areas. Prerequisites include knowledge of basic results from semigroup theory and Lie group theory
    Weitere Ausg.: ISBN 9780817632250
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe Dungey, Nick Analysis on Lie groups with polynomial growth Boston, Basel, Berlin : Birkhäuser Verlag, 2003 ISBN 3764332255
    Weitere Ausg.: ISBN 0817632255
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    SK 340
    RVK:
    SA 1055
    Schlagwort(e): Analysis ; Lie-Gruppe ; Lie-Gruppe ; Partielle Differentialgleichung
    DOI: 10.1007/978-1-4612-2062-6
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
    URL: Inhaltstext
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    Online Zugang
    Open Access Wunsch
    UB Potsdam
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