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- catalog abstract "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.".
- catalog contributor b12960933.
- catalog contributor b12960934.
- catalog contributor b12960935.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "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.".
- catalog description "Includes bibliographical references (p. [289]-297) and index.".
- catalog description "Preface -- Introduction -- General Formalism -- Structure Theory -- Homogenization and Kernel Bounds -- Global Derivatives -- Asymptotics -- Appendices -- References -- Index of Notation -- Index.".
- catalog extent "viii, 312 p. ;".
- catalog hasFormat "Analysis on Lie groups with polynomial growth.".
- catalog identifier "0817632255 (alk. paper)".
- catalog identifier "3764332255 (alk. paper)".
- catalog isFormatOf "Analysis on Lie groups with polynomial growth.".
- catalog isPartOf "Progress in mathematics (Boston, Mass.) ; v. 214.".
- catalog isPartOf "Progress in mathematics ; v. 214".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Boston, MA : Birkhauser Verlag,".
- catalog relation "Analysis on Lie groups with polynomial growth.".
- catalog subject "512/.55 21".
- catalog subject "Differential equations, Partial Asymptotic theory.".
- catalog subject "Global analysis (Mathematics)".
- catalog subject "Harmonic analysis.".
- catalog subject "Homogenization (Differential equations)".
- catalog subject "Lie groups.".
- catalog subject "Mathematics.".
- catalog subject "Operator theory.".
- catalog subject "QA387 .D86 2003".
- catalog subject "Topological Groups.".
- catalog tableOfContents "Preface -- Introduction -- General Formalism -- Structure Theory -- Homogenization and Kernel Bounds -- Global Derivatives -- Asymptotics -- Appendices -- References -- Index of Notation -- Index.".
- catalog title "Analysis on Lie groups with polynomial growth / Nick Dungey, A.F.M. ter Elst, Derek W. Robinson.".
- catalog type "text".