Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions (Encyclopaedia of Mathematical Sciences)
ISBN 10: 3642081266 ISBN 13: 9783642081262
Verlag: Springer, 2010
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Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.
Von der hinteren Coverseite: This EMS volume contains two contributions: the first one, "Harmonic Analysis on Homogeneous Spaces", is written by V.F.Molchanov, the second one, "Representations of Lie Groups and Special Functions", by N.Ya.Vilenkin and A.U.Klimyk. Molchanov focuses on harmonic analysis on semi-simple spaces, whereas Vilenkin and Klimyk treat group theoretical methods also with respect to integral transforms. Both contributions are surveys introducing readers to the above topics and preparing them for the study of more specialised literature. This book will be very useful to mathematicians, theoretical physicists and also to chemists dealing with quantum systems.
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Titel: Representation Theory and Noncommutative ...
Verlag: Springer
Erscheinungsdatum: 2010
Einband: Softcover
Zustand: New
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Representation Theory and Noncommutative Harmonic Analysis II
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathem. Bestandsnummer des Verkäufers 5047173
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Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions (Encyclopaedia of Mathematical Sciences)
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Representation Theory and Noncommutative Harmonic Analysis II : Homogeneous Spaces, Representations and Special Functions
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - At first only elementary functions were studied in mathematical analysis. Then new functions were introduced to evaluate integrals. They were named special functions: integral sine, logarithms, the exponential function, the prob ability integral and so on. Elliptic integrals proved to be the most important. They are connected with rectification of arcs of certain curves. The remarkable idea of Abel to replace these integrals by the corresponding inverse functions led to the creation of the theory of elliptic functions. They are doubly periodic functions of a complex variable. This periodicity has led to consideration of the lattice of periods and to linear-fractional trans formations of the complex plane which leave this lattice invariant. The group of these transformations is isomorphic to the quotient group of the group 8L(2, Z) of unimodular matrices of the second order with integral elements with respect to its center. Investigation of properties of elliptic functions led to the study of automorphic functions and forms. This gave the first connec tion between the theory of groups and this important class of functions. The further development of the theory of automorphic functions was related to geometric concepts connected with the fact that the group of linear-fractional transformations with real elements can be realized as the group of motions of th the Lobachevskij plane. We also note that at the beginning of the 19 century Gauss used the group 8L(2, Z) in his papers on the theory of indeterminate quadratic forms. Bestandsnummer des Verkäufers 9783642081262
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Representation Theory and Noncommutative Harmonic Analysis II
ISBN 10: 3642081266
ISBN 13: 9783642081262
Neu
Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -At first only elementary functions were studied in mathematical analysis. Then new functions were introduced to evaluate integrals. They were named special functions: integral sine, logarithms, the exponential function, the prob ability integral and so on. Elliptic integrals proved to be the most important. They are connected with rectification of arcs of certain curves. The remarkable idea of Abel to replace these integrals by the corresponding inverse functions led to the creation of the theory of elliptic functions. They are doubly periodic functions of a complex variable. This periodicity has led to consideration of the lattice of periods and to linear-fractional trans formations of the complex plane which leave this lattice invariant. The group of these transformations is isomorphic to the quotient group of the group 8L(2, Z) of unimodular matrices of the second order with integral elements with respect to its center. Investigation of properties of elliptic functions led to the study of automorphic functions and forms. This gave the first connec tion between the theory of groups and this important class of functions. The further development of the theory of automorphic functions was related to geometric concepts connected with the fact that the group of linear-fractional transformations with real elements can be realized as the group of motions of th the Lobachevskij plane. We also note that at the beginning of the 19 century Gauss used the group 8L(2, Z) in his papers on the theory of indeterminate quadratic forms.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 280 pp. Englisch. Bestandsnummer des Verkäufers 9783642081262
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Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions (Encyclopaedia of Mathematical Sciences)
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Representation Theory and Noncommutative Harmonic Analysis II
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Springer Berlin Heidelberg Dez 2010, 2010
ISBN 10: 3642081266
ISBN 13: 9783642081262
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems. 280 pp. Englisch. Bestandsnummer des Verkäufers 9783642081262
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Representation Theory and Noncommutative Harmonic Analysis II
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Representation Theory and Noncommutative Harmonic Analysis II
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Representation Theory and Noncommutative Harmonic Analysis II
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Zustand: New. PRINT ON DEMAND pp. 280. Bestandsnummer des Verkäufers 183078636
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Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions (Encyclopaedia of Mathematical Sciences, 59)
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