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| fixed length control field |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
210616b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319256115 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.63 |
| Item number |
CHR |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Christensen, Ole |
| 245 ## - TITLE STATEMENT |
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| Title |
Introduction to Frames and Riesz bases |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Birkhäuser, |
| Date of publication, distribution, etc |
2016 |
| Place of publication, distribution, etc |
Switzerland : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xxv, 704 p. ; |
| Other physical details |
ill. (some color), |
| Dimensions |
25 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
39.99 |
| Price type code |
EUR |
| Unit of pricing |
92.90 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Applied and Numerical Harmonic Analysis, |
| Volume number/sequential designation |
2296-5009 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Ole Christensen presents an overview of frames and Riesz bases from a functional analytic perspective, emphasising their mathematical properties and applications. This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems. Compared with the first edition, more emphasis is put on explicit constructions with attractive properties. Based on the exiting development of frame theory over the last decade, this second edition now includes new sections on the rapidly growing fields of LCA groups, generalized shift-invariant systems, duality theory for as well Gabor frames as wavelet frames, and open problems in the field. Key features include: *Elementary introduction to frame theory in finite-dimensional spaces * Basic results presented in an accessible way for both pure and applied mathematicians * Extensive exercises make the work suitable as a textbook for use in graduate courses * Full proofs includ ed in introductory chapters; only basic knowledge of functional analysis required * Explicit constructions of frames and dual pairs of frames, with applications and connections to time-frequency analysis, wavelets, and generalized shift-invariant systems * Discussion of frames on LCA groups and the concrete realizations in terms of Gabor systems on the elementary groups; connections to sampling theory * Selected research topics presented with recommendations for more advanced topics and further readin g * Open problems to stimulate further research An Introduction to Frames and Riesz Bases will be of interest to graduate students and researchers working in pure and applied mathematics, mathematical physics, and engineering. Professionals working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find this book a useful self-study reference. Review of the first edition: "Ole Christensen’s An Introduction to Frames and Riesz Bases is a first-rate introduction to the field … . The book provides an excellent exposition of these topics. The material is broad enough to pique the interest of many readers, the included exercises supply some interesting challenges, and the coverage provides enough background for those new to the subject to begin conducting original research. |
| 650 ## - 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 |
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| Topical term or geographic name as entry element |
Functional analysis |
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| Topical term or geographic name as entry element |
Operator theory |
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| Topical term or geographic name as entry element |
Functional Analysis |
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| Topical term or geographic name as entry element |
Abstract Harmonic Analysis |
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| Topical term or geographic name as entry element |
Signal, Image and Speech Processing |
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| Topical term or geographic name as entry element |
Riesz spaces |
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| Topical term or geographic name as entry element |
Linear topological spaces |
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| Topical term or geographic name as entry element |
Frames |
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| Topical term or geographic name as entry element |
Vector analysis |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |