MARC details
| 000 -LEADER |
| fixed length control field |
03005nam a22004575i 4500 |
| 001 - CONTROL NUMBER |
| control field |
978-0-387-85469-4 |
| 003 - CONTROL NUMBER IDENTIFIER |
| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
| control field |
20251006084425.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
| fixed length control field |
100301s2009 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
| International Standard Book Number |
9780387854694 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
| International Standard Book Number |
99780387854694 |
| 024 7# - OTHER STANDARD IDENTIFIER |
| Standard number or code |
10.1007/978-0-387-85469-4 |
| Source of number or code |
doi |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
| Classification number |
515.785 |
| Edition information |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
| Personal name |
Deitmar, Anton. |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
| Title |
Principles of Harmonic Analysis |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by Anton Deitmar, Siegfried Echterhoff. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
| Place of production, publication, distribution, manufacture |
New York, NY : |
| Name of producer, publisher, distributor, manufacturer |
Springer New York, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2009. |
| 300 ## - PHYSICAL DESCRIPTION |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
| Series statement |
Universitext |
| 505 0# - FORMATTED CONTENTS NOTE |
| Formatted contents note |
Haar Integration -- Banach Algebras -- Duality for Abelian Groups -- The Structure of LCA-Groups -- Operators on Hilbert Spaces -- Representations -- Compact Groups -- Direct Integrals -- The Selberg Trace Formula -- The Heisenberg Group -- SL2(?) -- Wavelets. |
| 520 ## - SUMMARY, ETC. |
| Summary, etc. |
The present book is intended as a text for a graduate course on abstract harmonic analysis and its applications. The book can be used as a follow up to Anton Deitmer's previous book, A First Course in Harmonic Analysis, or independently, if the students already have a modest knowledge of Fourier Analysis. In this book, among other things, proofs are given of Pontryagin Duality and the Plancherel Theorem for LCA-groups, which were mentioned but not proved in A First Course in Harmonic Analysis. Using Pontryagin duality, the authors also obtain various structure theorems for locally compact abelian groups. The book then proceeds with Harmonic Analysis on non-abelian groups and its applications to theory in number theory and the theory of wavelets. Knowledge of set theoretic topology, Lebesgue integration, and functional analysis on an introductory level will be required in the body of the book. For the convenience of the reader, all necessary ingredients from these areas have been included in the appendices. Professor Deitmar is Professor of Mathematics at the University of Tübingen, Germany. He is a former Heisenberg fellow and has taught in the U.K. for some years. Professor Echterhoff is Professor of Mathematics and Computer Science at the University of Münster, Germany. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
MATHEMATICS. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
HARMONIC ANALYSIS. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
FOURIER ANALYSIS. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
MATHEMATICS. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
ABSTRACT HARMONIC ANALYSIS. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
FOURIER ANALYSIS. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
| Personal name |
Echterhoff, Siegfried. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
| Relationship information |
Printed edition: |
| International Standard Book Number |
9780387854687 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
| Uniform title |
Universitext |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
| Uniform Resource Identifier |
<a href="http://dx.doi.org/10.1007/978-0-387-85469-4">http://dx.doi.org/10.1007/978-0-387-85469-4</a> |
| Public note |
Ver el texto completo en las instalaciones del CICY |
| 912 ## - |
| -- |
ZDB-2-SMA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Libros electrónicos |