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OSt |
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20140310151452.0 |
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110530s2011 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783034801164 |
|
978-3-0348-0116-4 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA403.5-404.5 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.2433 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Basel : |
| -- |
Springer Basel, |
| -- |
2011. |
| 912 ## - |
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| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Wong, M. W. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Discrete Fourier Analysis |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by M. W. Wong. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
VIII, 177p. 1 illus. in color. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Pseudo-Differential Operators, Theory and Applications ; |
| Volume number/sequential designation |
5 |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Preface -- The Finite Fourier Transform -- Translation-Invariant Linear Operators -- Circulant Matrices -- Convolution Operators -- Fourier Multipliers -- Eigenvalues and Eigenfunctions -- The Fast Fourier Transform -- Time-Frequency Analysis -- Time-Frequency Localized Bases -- Wavelet Transforms and Filter Banks -- Haar Wavelets -- Daubechies Wavelets -- The Trace -- Hilbert Spaces -- Bounded Linear Operators -- Self-Adjoint Operators -- Compact Operators -- The Spectral Theorem -- Schatten–von Neumann Classes -- Fourier Series -- Fourier Multipliers on S1 -- Pseudo-Differential Operators on S1 -- Pseudo-Differential Operators on Z -- Bibliography -- Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This textbook presents basic notions and techniques of Fourier analysis in discrete settings. Written in a concise style, it is interlaced with remarks, discussions and motivations from signal analysis. The first part is dedicated to topics related to the Fourier transform, including discrete time-frequency analysis and discrete wavelet analysis. Basic knowledge of linear algebra and calculus is the only prerequisite. The second part is built on Hilbert spaces and Fourier series and culminates in a section on pseudo-differential operators, providing a lucid introduction to this advanced topic in analysis. Some measure theory language is used, although most of this part is accessible to students familiar with an undergraduate course in real analysis. Discrete Fourier Analysis is aimed at advanced undergraduate and graduate students in mathematics and applied mathematics. Enhanced with exercises, it will be an excellent resource for the classroom as well as for self-study. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics. |
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|---|
| Topical term or geographic name as entry element |
Harmonic analysis. |
|
|---|
| Topical term or geographic name as entry element |
Fourier analysis. |
|
|---|
| Topical term or geographic name as entry element |
Differential equations, partial. |
|
|---|
| Topical term or geographic name as entry element |
Numerical analysis. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Fourier Analysis. |
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| Topical term or geographic name as entry element |
Abstract Harmonic Analysis. |
|
|---|
| Topical term or geographic name as entry element |
Partial Differential Equations. |
|
|---|
| Topical term or geographic name as entry element |
Numerical Analysis. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783034801157 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-0348-0116-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
