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Groups Acting on Hyperbolic Space: Harmonic Analysis And Number Theory (Springer Monographs In Mathematics) - Juergen Elstrodt
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Juergen Elstrodt:

Groups Acting on Hyperbolic Space: Harmonic Analysis And Number Theory (Springer Monographs In Mathematics) - Taschenbuch

2010, ISBN: 3642083021

[SR: 4659756], Paperback, [EAN: 9783642083020], Springer, Springer, Book, [PU: Springer], 2010-12-15, Springer, This book deals with a broad range of topics from the theory of automorphic functions on three-dimensional hyperbolic space and its arithmetic group theoretic and geometric ramifications. Starting off with several models of hyperbolic space and its group of motions the authors discuss the spectral theory of the Laplacian and Selberg's theory for cofinite groups. This culminates in explicit versions of the Selberg trace formula and the Selberg zeta-function. The interplay with arithmetic is demonstrated by means of the groups PSL(2) over rings and of quadratic integers, their Eisenstein series and their associated Hermitian forms. A rich chapter on concrete examples of arithmetic and non-arithmetic cofinite groups enhances the usefulness of this work for a wide circle of mathematicians., 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278342, Functional Analysis, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922522, Mathematical Theory, 922518, Chaos, 278381, Game Theory, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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Groups Acting on Hyperbolic Space - Juergen Elstrodt
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Juergen Elstrodt:

Groups Acting on Hyperbolic Space - Taschenbuch

ISBN: 3642083021

ID: 10798555244

[EAN: 9783642083020], Neubuch, [PU: Springer-Verlag Berlin and Heidelberg GmbH & Co. K], JUERGEN ELSTRODT,FRITZ GRUNEWALD,JENS MENNICKE,ALGEBRA AND TRIGONOMETRY, Paperback. 524 pages. Dimensions: 9.1in. x 6.1in. x 1.3in.This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva ture -1, which is traditionally called hyperbolic 3-space. This space is the 3-dimensional instance of an analogous Riemannian manifold which exists uniquely in every dimension n : : : : 2. The hyperbolic spaces appeared first in the work of Lobachevski in the first half of the 19th century. Very early in the last century the group of isometries of these spaces was studied by Steiner, when he looked at the group generated by the inversions in spheres. The ge ometries underlying the hyperbolic spaces were of fundamental importance since Lobachevski, Bolyai and Gau had observed that they do not satisfy the axiom of parallels. Already in the classical works several concrete coordinate models of hy perbolic 3-space have appeared. They make explicit computations possible and also give identifications of the full group of motions or isometries with well-known matrix groups. One such model, due to H. Poincare, is the upper 3 half-space IH in JR . The group of isometries is then identified with an exten sion of index 2 of the group PSL(2, This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN.

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Groups Acting on Hyperbolic Space (Paperback) - Jürgen Elstrodt, Fritz Grunewald, Jens L. Mennicke
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Jürgen Elstrodt, Fritz Grunewald, Jens L. Mennicke:
Groups Acting on Hyperbolic Space (Paperback) - Taschenbuch

2010

ISBN: 3642083021

ID: 18730134725

[EAN: 9783642083020], Neubuch, [PU: Springer-Verlag Berlin and Heidelberg GmbH Co. KG, Germany], Language: English Brand New Book ***** Print on Demand *****.This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva- ture -1, which is traditionally called hyperbolic 3-space. This space is the 3-dimensional instance of an analogous Riemannian manifold which exists uniquely in every dimension n :::: 2. The hyperbolic spaces appeared first in the work of Lobachevski in the first half of the 19th century. Very early in the last century the group of isometries of these spaces was studied by Steiner, when he looked at the group generated by the inversions in spheres. The ge- ometries underlying the hyperbolic spaces were of fundamental importance since Lobachevski, Bolyai and Gauss had observed that they do not satisfy the axiom of parallels. Already in the classical works several concrete coordinate models of hy- perbolic 3-space have appeared. They make explicit computations possible and also give identifications of the full group of motions or isometries with well-known matrix groups. One such model, due to H. Poincare, is the upper 3 half-space IH in JR . The group of isometries is then identified with an exten- sion of index 2 of the group PSL(2,

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Groups Acting on Hyperbolic Space (Paperback) - Jürgen Elstrodt, Fritz Grunewald, Jens L. Mennicke
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Jürgen Elstrodt, Fritz Grunewald, Jens L. Mennicke:
Groups Acting on Hyperbolic Space (Paperback) - Taschenbuch

2010, ISBN: 3642083021

ID: 16467409325

[EAN: 9783642083020], Neubuch, [PU: Springer-Verlag Berlin and Heidelberg GmbH Co. KG, Germany], Language: English Brand New Book. This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva- ture -1, which is traditionally called hyperbolic 3-space. This space is the 3-dimensional instance of an analogous Riemannian manifold which exists uniquely in every dimension n :::: 2. The hyperbolic spaces appeared first in the work of Lobachevski in the first half of the 19th century. Very early in the last century the group of isometries of these spaces was studied by Steiner, when he looked at the group generated by the inversions in spheres. The ge- ometries underlying the hyperbolic spaces were of fundamental importance since Lobachevski, Bolyai and Gauss had observed that they do not satisfy the axiom of parallels. Already in the classical works several concrete coordinate models of hy- perbolic 3-space have appeared. They make explicit computations possible and also give identifications of the full group of motions or isometries with well-known matrix groups. One such model, due to H. Poincare, is the upper 3 half-space IH in JR . The group of isometries is then identified with an exten- sion of index 2 of the group PSL(2,

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Groups Acting on Hyperbolic Space editado por Springer verlag gmbh, [PU: Springer, Berlin/Heidelberg/New York, NY]

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Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory (Springer Monographs in Mathematics)
Autor:

Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke

Titel:

Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory (Springer Monographs in Mathematics)

ISBN-Nummer:

9783642083020

This book deals with a broad range of topics from the theory of automorphic functions on three-dimensional hyperbolic space and its arithmetic group theoretic and geometric ramifications. Starting off with several models of hyperbolic space and its group of motions the authors discuss the spectral theory of the Laplacian and Selberg's theory for cofinite groups. This culminates in explicit versions of the Selberg trace formula and the Selberg zeta-function. The interplay with arithmetic is demonstrated by means of the groups PSL(2) over rings and of quadratic integers, their Eisenstein series and their associated Hermitian forms. A rich chapter on concrete examples of arithmetic and non-arithmetic cofinite groups enhances the usefulness of this work for a wide circle of mathematicians.

Detailangaben zum Buch - Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory (Springer Monographs in Mathematics)


EAN (ISBN-13): 9783642083020
ISBN (ISBN-10): 3642083021
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer, Berlin

Buch in der Datenbank seit 09.04.2010 11:04:57
Buch zuletzt gefunden am 04.10.2016 03:40:01
ISBN/EAN: 9783642083020

ISBN - alternative Schreibweisen:
3-642-08302-1, 978-3-642-08302-0

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