Garth warner (32 résultats)
Edité par Golden Books 1953 / 1981 Reprint 0, Interior Clean and Unmarked, 1981
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Edité par Berlin, Heidelberg, New York : Springer (1972)., 1972
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Hardcover. Etat : Near Fine. Near Fine. First Edition; First Printing. Near Fine in a Near Fine DH: The Book shows a price in ink at the upper corner of the front free endpaper; three quite superficial 'dings' to the bottom edges of the boards; the binding is square and secure; the text is clean. Free of creased or dog-eared pag…es in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. Free of ownership names, dates, addresses, notations, inscriptions, stamps, or labels. A handsome, nearly-new copy, tightly bound, showing minor, unobtrusive imperfections only. The DJ shows very mild rubbing and a hint of consequent soiling to the panels; a half-inch, closed tear at the bottom edge of the front panel; just a touch of wear to the upper corner tips; else flawless. Remains attractive and intact. NOT a Remainder, Book-Club, or Ex-Library. Large 8vo (9.35 x 6.35 x 1.45 inches). Language: English. Weight: 35 ounces. Hardcover with DJ. The representation theory of locally compact groups has been vigorously 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. We have made an effort to give full details and complete proofs of the theorems on which the theory rests. There are a variety of Examples 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 exposition. ; Die Grundlehren Der Mathematichen Wissenschaften in Einzeldarstellungen; Vol. 188; Large 8vo 9" - 10" tall; xvi, 529 pages.
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 6 Spherical Functions - The General Theory.- 6.1 Fundamentals.- 6.2 Examples.- 7 Topology on the Dual Plancherel Measure Introduction.- 7.1 Topology on the Dual.- 7.2 Plancherel Measure.- 8 Analysis on a Semi-Simple Lie Group.- 8.1 Preliminaries.- 8.2…Differential Operators on Reductive Lie Groups and Algebras.- 8.3 Central Eigendistributions on Reductive Lie Algebras and Groups.- 8.4 The Invariant Integral on a Reductive Lie Algebra.- 8.5 The Invariant Integral on a Reductive Lie Group.- 9 Spherical Functions on a Semi-Simple Lie Group.- 9.1 Asymptotic Behavior of -Spherical Functions on a Semi-Simple Lie Group.- 9.2 Zonal Spherical Functions on a Semi-Simple Lie Group.- 9.3 Spherical Functions and Differential Equations.- 10 The Discrete Series for a Semi-Simple Lie Group - Existence and Exhaustion.- 10.1 The Role of the Distributions in the Harmonic Analysis on G.- 10.2 Theory of the Discrete Series.- 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 is-Polynomials.- General Notational Conventions.- List of Notations.- Guide to the Literature.- Subject Index to Volumes I and II.
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.
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Etat : gut. 1972. Harmonic Analysis on Semi-Simple Lie Groups II (Grundlehren der mathematischen Wissenschaften in Einzeldatstellungen, Band 189. A Series of Comprehensive Studies in Mathematics, 189) In deutscher Sprache. pages.
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Etat : gut. 1972. Harmonic Analysis on Semi-Simple Lie Groups I (Grundlehren der mathematischen Wissenschaften: A Series of Comprehensive Studies in Mathematics, Band 188) In deutscher Sprache. pages.
Edité par Springer, Berlin-Heidelberg-New York, 1972
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -6 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 Semi-Simple Lie Group.- 9.1 Asymptotic Behavior of -Spherical Functions on a Semi-Simple 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 c-Function.- 9.1.7 Applications to Zonal Spherical Functions.- 9.2 Zonal Spherical Functions on a Semi-Simple Lie Group.- 9.2.1 Statement of Results ¿ Immediate Applications.- 9.2.2 The Plancherel Theorem for I2(G).- 9.2.3 The Paley-Wiener 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 Semi-Simple 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 Z-Finite 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 Harish-Chandra.- 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 is-Polynomials.- General Notational Conventions.- List of Notations.- Guide to the Literature.- Subject Index to Volumes I and II. 504 pp. Englisch.
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 552 pp. Englisch.
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 552 pp. Englisch.
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -6 Spherical Functions - The General Theory.- 6.1 Fundamentals.- 6.2 Examples.- 7 Topology on the Dual Plancherel Measure Introduction.- 7.1 Topology on the Dual.- 7.2 Plancherel Measure.- 8 Analysis on a Semi-Simple Lie Group.- 8.1 Prelimin…aries.- 8.2 Differential Operators on Reductive Lie Groups and Algebras.- 8.3 Central Eigendistributions on Reductive Lie Algebras and Groups.- 8.4 The Invariant Integral on a Reductive Lie Algebra.- 8.5 The Invariant Integral on a Reductive Lie Group.- 9 Spherical Functions on a Semi-Simple Lie Group.- 9.1 Asymptotic Behavior of -Spherical Functions on a Semi-Simple Lie Group.- 9.2 Zonal Spherical Functions on a Semi-Simple Lie Group.- 9.3 Spherical Functions and Differential Equations.- 10 The Discrete Series for a Semi-Simple Lie Group - Existence and Exhaustion.- 10.1 The Role of the Distributions in the Harmonic Analysis on G.- 10.2 Theory of the Discrete Series.- 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 is-Polynomials.- General Notational Conventions.- List of Notations.- Guide to the Literature.- Subject Index to Volumes I and II.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 504 pp. Englisch.
