Harmonic Analysis on Semi-Simple Lie Groups II: 2 (Grundlehren der mathematischen Wissenschaften)
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Von Händler/Antiquariat, Better World Books: Main.
The representation theory of locally compact groups has been vig­ orously developed in the past twenty-five years or so; of the various branches of this theory, one of the most attractive (and formidable) is the representation theory of semi-simple Lie groups which, to a great extent, is the creation of a single man: Harish-Chandra. The chief objective of the present volume and its immediate successor is to provide a reasonably self-contained introduction to Harish-Chandra's theory. Granting cer­ tain basic prerequisites (cf. infra), we have made an effort to give full details and complete proofs of the theorems on which the theory rests. The structure of this volume and its successor is as follows. Each book is divided into chapters; each chapter is divided into sections; each section into numbers. We then use the decimal system of reference; for example, 1. 3. 2 refers to the second number in the third section of the first chapter. Theorems, Propositions, Lemmas, and Corollaries are listed consecutively throughout any given number. Numbers which are set in fine print may be omitted at a first reading. There are a variety of Exam­ ples scattered throughout the text; the reader, if he is so inclined, can view them as exercises ad libitum. The Appendices to the text collect certain ancillary results which will be used on and off in the systematic exposi­ tion; a reference of the form A2. Hardcover, Ausgabe: 1st, Label: Springer-Verlag, Springer-Verlag, Produktgruppe: Book, Publiziert: 1972-06, Studio: Springer-Verlag, Verkaufsrang: 4987613.

Von Händler/Antiquariat, HPB-Dallas [54223947], Dallas, TX, U.S.A.
Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority.

Von Händler/Antiquariat, Black Oak Books Holdings Corp. [53531808], El Cerrito, CA, U.S.A.
Jacket rubbed/soiled, edges bumped, spine age-toned, ~1 inch tear in top corner of front flap, ~1 and ~0.5 inch tears at top spine end, other minor chipping and tearing at corners and spine ends, both leaves have tape along fore-edges; cover corners faintly rubbed/bumped, spine ends lightly bumped; edges lightly soiled; endpapers unevenly age-toned, pastedowns have pieces of tape, front pastedown has signature of previous owner, the mathematician Ray Kunze; binding tight; cover, edges, and interior intact and clean except as noted.

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Von Händler/Antiquariat, Better World Books: West [4720790], Reno, NV, U.S.A.
Ships from Reno, NV. Former Library book. Shows some signs of wear, and may have some markings on the inside.

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Buchhandlung - Bides GbR, [4124740].
Neuware - Inhaltsangabe6 Spherical Functions - The General Theory.- 6.1 Fundamentals.- 6.1.1 Spherical Functions - Functional Properties.- 6.1.2 Spherical Functions - Differential Properties.- 6.2 Examples.- 6.2.1 Spherical Functions on Motion Groups.- 6.2.2 Spherical Functions on Semi-Simple Lie Groups.- 7 Topology on the Dual Plancherel Measure Introduction.- 7.1 Topology on the Dual.- 7.1.1 Generalities.- 7.1.2 Applications to Semi-Simple Lie Groups.- 7.2 Plancherel Measure.- 7.2.1 Generalities.- 7.2.2 The Plancherel Theorem for Complex Connected Semi-Simple Lie Groups.- 8 Analysis on a Semi-Simple Lie Group.- 8.1 Preliminaries.- 8.1.1 Acceptable Groups.- 8.1.2 Normalization of Invariant Measures.- 8.1.3 Integration Formulas.- 8.1.4 A Theorem of Compacity.- 8.1.5 The Standard Semi-Norm on a Semi-Simple Lie Group.- 8.1.6 Completely Invariant Sets.- 8.2 Differential Operators on Reductive Lie Groups and Algebras.- 8.2.1 Radial Components of Differential Operators on a Manifold.- 8.2.2 Radial Components of Polynomial Differential Operators on a Reductive Lie Algebra.- 8.2.3 Radial Components of Left Invariant Differential Operators on a Reductive Lie Group.- 8.2.4 The Connection between Differential Operators in the Algebra and on the Group.- 8.3 Central Eigendistributions on Reductive Lie Algebras and Groups.- 8.3.1 The Main Theorem in the Algebra.- 8.3.2 Properties of FT-I.- 8.3.3 The Main Theorem on the Group.- 8.3.4 Properties of FT- II.- 8.3.5 Rapidly Decreasing Functions on a Euclidean Space.- 8.3.6 Tempered Distributions on a Reductive Lie Algebra.- 8.3.7 Rapidly Decreasing Functions on a Reductive Lie Group.- 8.3.8 Tempered Distributions on a Reductive Lie Group.- 8.3.9 Tools for Harmonic Analysis on G.- 8.4 The Invariant Integral on a Reductive Lie Algebra.- 8.4.1 The Invariant Integral - Definition and Properties.- 8.4.2 Computations in sl(2, R).- 8.4.3 Continuity of the Map f f. 8.4.4 Extension Problems. 8.4.5 The Main Theorem. 8.5 The Invariant Integral on a Reductive Lie Group. 8.5.1 The Invariant Integral Definition and Properties. 8.5.2 The Inequalities of Descent. 8.5.3 The Transformations of Descent. 8.5.4 The Invariant Integral and the Transformations of Descent. 8.5.5 Estimation of f and its Derivatives. 8.5.6 An Important Inequality. 8.5.7 Convergence of Certain Integrals. 8.5.8 Continuity of the Map f f. 9 Spherical Functions on a SemiSimple Lie Group. 9.1 Asymptotic Behavior of Spherical Functions on a SemiSimple Lie Group. 9.1.1 The Main Results. 9.1.2 Analysis in the Universal Enveloping Algebra. 9.1.3 The Space S( , ). 9.1.4 The Rational Functions . 9.1.5 The Expansion of Spherical Functions. 9.1.6 Investigation of the cFunction. 9.1.7 Applications to Zonal Spherical Functions. 9.2 Zonal Spherical Functions on a SemiSimple Lie Group. 9.2.1 Statement of Results Immediate Applications. 9.2.2 The Plancherel Theorem for I2(G). 9.2.3 The PaleyWiener Theorem for I2(G). 9.2.4 Harmonic Analysis in I1(G). 9.3 Spherical Functions and Differential Equations. 9.3.1 The Weak Inequality and Some of its Implications. 9.3.2 Existence and Uniqueness of the Indices I. 9.3.3 Existence and Uniqueness of the Indices II. 10 The Discrete Series for a SemiSimple Lie Group Existence and Exhaustion. 10.1 The Role of the Distributions in the Harmonic Analysis on G. 10.1.1 Existence and Uniqueness of the . 10.1.2 Expansion of ZFinite Functions in C(G). 10.2 Theory of the Discrete Series. 10.2.1 Existence of the Discrete Series. 10.2.2 The Characters of the Discrete Series I Implication of the Orthogonality Relations. 10.2.3 The Characters of the Discrete Series II Application of the Differential Equations. 10.2.4 The Theorem of HarishChandra. Epilogue. Append. 3 Some Results on Differential Equations. 3.1 The Main Theorems. 3.2 Lemmas from Analysis. 3.3 Analytic Continuation of Solutions. 3.4 Decent Convergence. 3.5 Normal Sequences of isPolynomials. General Notatio, Taschenbuch.

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Von Händler/Antiquariat, sparbuchladen [52968077], Göttingen, Germany.
Neuware - Inhaltsangabe6 Spherical Functions - The General Theory.- 6.1 Fundamentals.- 6.1.1 Spherical Functions - Functional Properties.- 6.1.2 Spherical Functions - Differential Properties.- 6.2 Examples.- 6.2.1 Spherical Functions on Motion Groups.- 6.2.2 Spherical Functions on Semi-Simple Lie Groups.- 7 Topology on the Dual Plancherel Measure Introduction.- 7.1 Topology on the Dual.- 7.1.1 Generalities.- 7.1.2 Applications to Semi-Simple Lie Groups.- 7.2 Plancherel Measure.- 7.2.1 Generalities.- 7.2.2 The Plancherel Theorem for Complex Connected Semi-Simple Lie Groups.- 8 Analysis on a Semi-Simple Lie Group.- 8.1 Preliminaries.- 8.1.1 Acceptable Groups.- 8.1.2 Normalization of Invariant Measures.- 8.1.3 Integration Formulas.- 8.1.4 A Theorem of Compacity.- 8.1.5 The Standard Semi-Norm on a Semi-Simple Lie Group.- 8.1.6 Completely Invariant Sets.- 8.2 Differential Operators on Reductive Lie Groups and Algebras.- 8.2.1 Radial Components of Differential Operators on a Manifold.- 8.2.2 Radial Components of Polynomial Differential Operators on a Reductive Lie Algebra.- 8.2.3 Radial Components of Left Invariant Differential Operators on a Reductive Lie Group.- 8.2.4 The Connection between Differential Operators in the Algebra and on the Group.- 8.3 Central Eigendistributions on Reductive Lie Algebras and Groups.- 8.3.1 The Main Theorem in the Algebra.- 8.3.2 Properties of FT-I.- 8.3.3 The Main Theorem on the Group.- 8.3.4 Properties of FT- II.- 8.3.5 Rapidly Decreasing Functions on a Euclidean Space.- 8.3.6 Tempered Distributions on a Reductive Lie Algebra.- 8.3.7 Rapidly Decreasing Functions on a Reductive Lie Group.- 8.3.8 Tempered Distributions on a Reductive Lie Group.- 8.3.9 Tools for Harmonic Analysis on G.- 8.4 The Invariant Integral on a Reductive Lie Algebra.- 8.4.1 The Invariant Integral - Definition and Properties.- 8.4.2 Computations in sl(2, R).- 8.4.3 Continuity of the Map f f. 8.4.4 Extension Problems. 8.4.5 The Main Theorem. 8.5 The Invariant Integral on a Reductive Lie Group. 8.5.1 The Invariant Integral Definition and Properties. 8.5.2 The Inequalities of Descent. 8.5.3 The Transformations of Descent. 8.5.4 The Invariant Integral and the Transformations of Descent. 8.5.5 Estimation of f and its Derivatives. 8.5.6 An Important Inequality. 8.5.7 Convergence of Certain Integrals. 8.5.8 Continuity of the Map f f. 9 Spherical Functions on a SemiSimple Lie Group. 9.1 Asymptotic Behavior of Spherical Functions on a SemiSimple Lie Group. 9.1.1 The Main Results. 9.1.2 Analysis in the Universal Enveloping Algebra. 9.1.3 The Space S( , ). 9.1.4 The Rational Functions . 9.1.5 The Expansion of Spherical Functions. 9.1.6 Investigation of the cFunction. 9.1.7 Applications to Zonal Spherical Functions. 9.2 Zonal Spherical Functions on a SemiSimple Lie Group. 9.2.1 Statement of Results Immediate Applications. 9.2.2 The Plancherel Theorem for I2(G). 9.2.3 The PaleyWiener Theorem for I2(G). 9.2.4 Harmonic Analysis in I1(G). 9.3 Spherical Functions and Differential Equations. 9.3.1 The Weak Inequality and Some of its Implications. 9.3.2 Existence and Uniqueness of the Indices I. 9.3.3 Existence and Uniqueness of the Indices II. 10 The Discrete Series for a SemiSimple Lie Group Existence and Exhaustion. 10.1 The Role of the Distributions in the Harmonic Analysis on G. 10.1.1 Existence and Uniqueness of the . 10.1.2 Expansion of ZFinite Functions in C(G). 10.2 Theory of the Discrete Series. 10.2.1 Existence of the Discrete Series. 10.2.2 The Characters of the Discrete Series I Implication of the Orthogonality Relations. 10.2.3 The Characters of the Discrete Series II Application of the Differential Equations. 10.2.4 The Theorem of HarishChandra. Epilogue. Append. 3 Some Results on Differential Equations. 3.1 The Main Theorems. 3.2 Lemmas from Analysis. 3.3 Analytic Continuation of Solutions. 3.4 Decent Convergence. 3.5 Normal Sequences of isPolynomials. General Notatio 494 pp. Englisch.

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Von Händler/Antiquariat, Better World Books [51315977], Mishawaka, IN, U.S.A.
Shows some signs of wear, and may have some markings on the inside.

Lieferung aus: Vereinigte Staaten von Amerika, Versandkostenfrei.
Von Händler/Antiquariat, Better World Books [51315977], Mishawaka, IN, U.S.A.
Shows some signs of wear, and may have some markings on the inside.

Von Händler/Antiquariat, Marbus Farm Books [8973330], Winchester, VA, U.S.A.
Hardcover with dj. Light shelfwear to dj. Contents clean and tight. 491 pages, index, bibliography.

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Von Händler/Antiquariat, Better World Books, IN, Mishawaka, [RE:4].
Hard cover.