Frames and Bases (Record no. 38541)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04118n a2200361#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 5000127 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20221213140639.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100301s2008 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780817646783 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-0-8176-4678-3 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | 978-0-8176-4678-3 |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Matemáticas Gerais-(inclusive alguns textos elementares sobre assuntos específicos) |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Christensen, Ole, |
| Dates associated with a name | 1966- |
| 9 (RLIN) | 2462 |
| 245 10 - TITLE STATEMENT | |
| Title | Frames and Bases |
| Medium | [electronic resource]: |
| Remainder of title | An Introductory Course/ |
| Statement of responsibility, etc. | by Ole Christensen. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Boston: |
| Name of publisher, distributor, etc. | Birkhäuser Boston, |
| Date of publication, distribution, etc. | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Other physical details | digital. |
| 490 0# - SERIES STATEMENT | |
| Series statement | Applied and Numerical Harmonic Analysis |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface -- Frames in Finite-dimensional Inner Product Spaces -- Infinite-dimensional Vector Spaces and Sequences -- Bases -- Bases and their Limitations -- Frames in Hilbert Spaces -- B-splines -- Frames of Translates -- Shift-Invariant Systems -- Gabor Frames in L2(R) -- Gabor Frames in l2(Z) -- Wavelet Frames in L2(R) -- List of Symbols -- References -- Index . |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | During the last several years, frames have become increasingly popular; they have appeared in a large number of applications, and several concrete constructions of frames of various types have been presented. Most of these constructions were based on quite direct methods rather than the classical sufficient conditions for obtaining a frame. Consequently, there is a need for an updated book on frames, which moves the focus from the classical approach to a more constructive one. Based on a streamlined presentation of the author's previous work, An Introduction to Frames and Riesz Bases, this new textbook fills a gap in the literature, developing frame theory as part of a dialogue between mathematicians and engineers. Newly added sections on applications will help mathematically oriented readers to see where frames are used in practice and engineers to discover the mathematical background for applications in their field. Key features and topics: * Results presented in an accessible way for graduate students, pure and applied mathematicians as well as engineers. * An introductory chapter provides basic results in finite-dimensional vector spaces, enabling readers with a basic knowledge of linear algebra to understand the idea behind frames without the technical complications in infinite-dimensional spaces. * Extensive exercises for use in theoretical graduate courses on bases and frames, or applications-oriented courses focusing on either Gabor analysis or wavelets. * Detailed description of frames with full proofs, an examination of the relationship between frames and Riesz bases, and a discussion of various ways to construct frames. * Content split naturally into two parts: The first part describes the theory on an abstract level, whereas the second part deals with explicit constructions of frames with applications and connections to time-frequency analysis, Gabor analysis, and wavelets. Frames and Bases: An Introductory Course will be an excellent textbook for graduate students as well as a good reference for researchers working in pure and applied mathematics, mathematical physics, and engineering. Practitioners working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find the book a useful self-study resource . |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| 9 (RLIN) | 43458 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Harmonic analysis |
| 9 (RLIN) | 43951 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Functional analysis. |
| 9 (RLIN) | 43448 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Operator theory |
| 9 (RLIN) | 37654 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Matemáticas Gerais- |
| Description subdivision | (inclusive alguns textos elementares sobre assuntos específicos) |
| Linkage | 23752 |
| 710 1# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service). |
| 9 (RLIN) | 8857 |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9780817646776 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Applied and numerical harmonic analysis |
| 9 (RLIN) | 24560 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-0-8176-4678-3">http://dx.doi.org/10.1007/978-0-8176-4678-3</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Instituto de Matemática Pura e Aplicada |
| Koha item type | E-Book |
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