An Introduction to Frames and Riesz Bases:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
2003
|
| Series: | Applied and Numerical Harmonic Analysis
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The theory for frames and bases has developed rapidly in recent years because of its role as a mathematical tool in signal and image processing. In this self-contained work, frames and Riesz bases are presented from a functional analytic point of view, emphasizing their mathematical properties. This is the first comprehensive book to focus on the general properties and interplay of frames and Riesz bases, and thus fills a gap in the literature. Key features: * 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 included in introductory chapters; only basic knowledge of functional analysis required * Explicit constructions of frames with applications and connections to time-frequency analysis, wavelets, and nonharmonic Fourier series * Selected research topics presented with recommendations for more advanced topics and further reading * Open problems to simulate further research An Introduction to Frames and Riesz Basis 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 |
| Physical Description: | 1 Online-Ressource (XXII, 440 p) |
| ISBN: | 9780817682248 9781461265009 |
| ISSN: | 2296-5009 |
| DOI: | 10.1007/978-0-8176-8224-8 |
Staff View
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| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9780817682248 9781461265009 |
| issn | 2296-5009 |
| language | English |
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| spelling | Christensen, Ole Verfasser aut An Introduction to Frames and Riesz Bases by Ole Christensen Boston, MA Birkhäuser Boston 2003 1 Online-Ressource (XXII, 440 p) txt rdacontent c rdamedia cr rdacarrier Applied and Numerical Harmonic Analysis 2296-5009 The theory for frames and bases has developed rapidly in recent years because of its role as a mathematical tool in signal and image processing. In this self-contained work, frames and Riesz bases are presented from a functional analytic point of view, emphasizing their mathematical properties. This is the first comprehensive book to focus on the general properties and interplay of frames and Riesz bases, and thus fills a gap in the literature. Key features: * 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 included in introductory chapters; only basic knowledge of functional analysis required * Explicit constructions of frames with applications and connections to time-frequency analysis, wavelets, and nonharmonic Fourier series * Selected research topics presented with recommendations for more advanced topics and further reading * Open problems to simulate further research An Introduction to Frames and Riesz Basis 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 Mathematics Functional analysis Operator theory Functional Analysis Applications of Mathematics Operator Theory Signal, Image and Speech Processing Mathematik Frame Mathematik (DE-588)4528312-6 gnd rswk-swf Riesz-Basis (DE-588)4688993-0 gnd rswk-swf Frame Mathematik (DE-588)4528312-6 s Riesz-Basis (DE-588)4688993-0 s 1\p DE-604 https://doi.org/10.1007/978-0-8176-8224-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Christensen, Ole An Introduction to Frames and Riesz Bases Mathematics Functional analysis Operator theory Functional Analysis Applications of Mathematics Operator Theory Signal, Image and Speech Processing Mathematik Frame Mathematik (DE-588)4528312-6 gnd Riesz-Basis (DE-588)4688993-0 gnd |
| subject_GND | (DE-588)4528312-6 (DE-588)4688993-0 |
| title | An Introduction to Frames and Riesz Bases |
| title_auth | An Introduction to Frames and Riesz Bases |
| title_exact_search | An Introduction to Frames and Riesz Bases |
| title_full | An Introduction to Frames and Riesz Bases by Ole Christensen |
| title_fullStr | An Introduction to Frames and Riesz Bases by Ole Christensen |
| title_full_unstemmed | An Introduction to Frames and Riesz Bases by Ole Christensen |
| title_short | An Introduction to Frames and Riesz Bases |
| title_sort | an introduction to frames and riesz bases |
| topic | Mathematics Functional analysis Operator theory Functional Analysis Applications of Mathematics Operator Theory Signal, Image and Speech Processing Mathematik Frame Mathematik (DE-588)4528312-6 gnd Riesz-Basis (DE-588)4688993-0 gnd |
| topic_facet | Mathematics Functional analysis Operator theory Functional Analysis Applications of Mathematics Operator Theory Signal, Image and Speech Processing Mathematik Frame Mathematik Riesz-Basis |
| url | https://doi.org/10.1007/978-0-8176-8224-8 |
| work_keys_str_mv | AT christensenole anintroductiontoframesandrieszbases |