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Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions: 59 (Encyclopaedia of Mathematical Sciences) - Softcover
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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.
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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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- VerlagSpringer
- Erscheinungsdatum2010
- ISBN 10 3642081266
- ISBN 13 9783642081262
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten280
- HerausgeberKirillov A.A.
- Kontakt zum HerstellerNicht verfügbar
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Representation Theory and Noncommutative Harmonic Analysis II : Homogeneous Spaces, Representations and Special Functions
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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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. Artikel-Nr. 9783642081262
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Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions (Encyclopaedia of Mathematical Sciences)
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
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Zustand: New. In. Artikel-Nr. ria9783642081262_new
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Representation Theory and Noncommutative Harmonic Analysis II : Homogeneous Spaces, Representations and Special Functions
Verlag:
Springer, Berlin; Heidelberg, 2010
ISBN 10: 3642081266
ISBN 13: 9783642081262
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Softcover
Anbieter: Barnaby, Oxford, Vereinigtes Königreich
Verkäuferbewertung 4 von 5 Sternen
Softcover. Zustand: Very Good. Very slight wear to cover. All pages clean, crisp and fresh. Overall, very sound and presentable. Publisher's note: "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." Size: 22.9 x 15.2 x 1.6 cm. 266 pp. Shipped Weight: Under 500 grams. Category: Mathematics; Representations of groups; Kac-Moody algebras; Harmonicanalysis; ISBN: 3642081266. ISBN/EAN: 9783642081262. Add. Inventory No: 240228ROSG012806. Artikel-Nr. 240228ROSG012806
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