The geometry of Heisenberg groups : with applications in signal theory, optics, quantization, and field quantization /
"The three-dimensional Heisenberg group, being a quite simple non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathemati...
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| Other Authors: | , |
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I. : London :
American Mathematical Society ; Eurospan [distributor],
2008
Providence, R.I. : American Mathematical Society, [2008], ©2008 Providence, R.I. : c2008 Providence, R.I. : ©2008 Providence, R.I. : [2008] |
| Series: | Mathematical surveys and monographs ;
v. 151 Mathematical surveys and monographs ; no. 151 Mathematical surveys and monographs ; v. 151 Mathematical surveys and monographs no. 151 Mathematical surveys and monographs no. 151 |
| Subjects: |
| Summary: | "The three-dimensional Heisenberg group, being a quite simple non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathematical structures (the skew field of quaternions, symplectic structures, and representations) and to describe some of its applications. In particular, the authors address such subjects as signal analysis and processing, geometric optics, and quantization. In each case, the authors present necessary details of the applied topic being considered." "This book manages to encompass a large variety of topics being easily accessible in its fundamentals. It can be useful to students and researchers working in mathematics and in applied mathematics."--BOOK JACKET "The three-dimensional Heisenberg group, being a quite simple non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathematical structures (the skew field of quaternions, symplectic structures, and representations) and to describe some of its applications. In particular, the authors address such subjects as signal analysis and processing, geometric optics, and quantization. In each case, the authors present necessary details of the applied topic being considered." "This book manages to encompass a large variety of topics being easily accessible in its fundamentals. It can be useful to students and researchers working in mathematics and in applied mathematics."--Jacket |
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| Item Description: | This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |
| Physical Description: | xvi, 299 p. : ill. ; 26 cm xvi, 299 p. ; 26 cm xvi, 299 p. ; 27 cm xvi, 299 pages : illustrations ; 26 cm xvi, 299 pages ; 27 cm Also available in an electronic version |
| Bibliography: | Includes bibliographical references (p. 289-294) and index Includes bibliographical references (pages 289-294) and index Includes bibliographical references and index |
| ISBN: | 0821844954 (alk. paper) 0821844954 (hbk.) 0821844954 9780821844953 (alk. paper) 9780821844953 (hbk.) 9780821844953 |
| ISSN: | 0076-5376 ; |