MARC details
| 000 -LEADER |
|---|
| fixed length control field |
02541nam a22003257a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20250508152859.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
250508b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781493976287 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
NISER LIBRARY |
| Transcribing agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
517.57 |
| Item number |
DEI-F |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Deitmar, Anton |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
First course in harmonic analysis |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
2nd edition |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
New York : |
| Name of publisher, distributor, etc. |
Springer, |
| Date of publication, distribution, etc. |
2005. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xii, 192 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
24 cm. |
| 490 0# - SERIES STATEMENT |
|---|
| Series statement |
Universitext |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (p. 187-189) and index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
The second part of the book concludes with Plancherel’s theorem in Chapter 8. This theorem is a generalization of the completeness of the Fourier series, as well as of Plancherel’s theorem for the real line. The third part of the book is intended to provide the reader with a ?rst impression of the world of non-commutative harmonic analysis. Chapter 9 introduces methods that are used in the analysis of matrix groups, such as the theory of the exponential series and Lie algebras. These methods are then applied in Chapter 10 to arrive at a clas- ?cation of the representations of the group SU(2). In Chapter 11 we give the Peter-Weyl theorem, which generalizes the completeness of the Fourier series in the context of compact non-commutative groups and gives a decomposition of the regular representation as a direct sum of irreducibles. The theory of non-compact non-commutative groups is represented by the example of the Heisenberg group in Chapter 12. The regular representation in general decomposes as a direct integral rather than a direct sum. For the Heisenberg group this decomposition is given explicitly. Acknowledgements: I thank Robert Burckel and Alexander Schmidt for their most useful comments on this book. I also thank Moshe Adrian, Mark Pavey, Jose Carlos Santos, and Masamichi Takesaki for pointing out errors in the ?rst edition. Exeter, June 2004 Anton Deitmar LEITFADEN vii Leitfaden 1 2 3 5 4 6 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Harmonic analysis |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Fourier analysis |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Fourier transform |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Hilbert space |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Riemann integral |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Matrix |
| 856 41 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Electronic version |
| Uniform Resource Identifier |
<a href="https://link.springer.com/book/10.1007/0-387-27561-4">https://link.springer.com/book/10.1007/0-387-27561-4</a> |
| 856 41 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Table of contents |
| Uniform Resource Identifier |
<a href="https://link.springer.com/content/pdf/bfm:978-0-387-27561-1/1">https://link.springer.com/content/pdf/bfm:978-0-387-27561-1/1</a> |
| 856 41 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/1982241.A_First_Course_in_Harmonic_Analysis#CommunityReviews">https://www.goodreads.com/book/show/1982241.A_First_Course_in_Harmonic_Analysis#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
NBHM Books |
