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The Resource Frames and Bases : An Introductory Course, by Ole Christensen, (electronic resource)
Frames and Bases : An Introductory Course, by Ole Christensen, (electronic resource)
Resource Information
The item Frames and Bases : An Introductory Course, by Ole Christensen, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Frames and Bases : An Introductory Course, by Ole Christensen, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 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 finitedimensional vector spaces, enabling readers with a basic knowledge of linear algebra to understand the idea behind frames without the technical complications in infinitedimensional spaces. * Extensive exercises for use in theoretical graduate courses on bases and frames, or applicationsoriented 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 timefrequency 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 selfstudy resource
 Language

 eng
 eng
 Edition
 1st ed. 2008.
 Extent
 1 online resource (325 p.)
 Note
 Description based upon print version of record
 Contents

 Frames in Finitedimensional Inner Product Spaces
 Infinitedimensional Vector Spaces and Sequences
 Bases
 Bases and their Limitations
 Frames in Hilbert Spaces
 Bsplines
 Frames of Translates
 ShiftInvariant Systems
 Gabor Frames in L(R)
 Gabor Frames in l(Z)
 Wavelet Frames in L(R)
 Isbn
 9780817646783
 Label
 Frames and Bases : An Introductory Course
 Title
 Frames and Bases
 Title remainder
 An Introductory Course
 Statement of responsibility
 by Ole Christensen
 Language

 eng
 eng
 Summary
 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 finitedimensional vector spaces, enabling readers with a basic knowledge of linear algebra to understand the idea behind frames without the technical complications in infinitedimensional spaces. * Extensive exercises for use in theoretical graduate courses on bases and frames, or applicationsoriented 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 timefrequency 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 selfstudy resource
 http://library.link/vocab/creatorName
 Christensen, Ole
 Dewey number

 515.63
 515/.63
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 Huz9oyahSA0
 Language note
 English
 LC call number
 QA319329.9
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Applied and Numerical Harmonic Analysis,
 http://library.link/vocab/subjectName

 Functional analysis
 Fourier analysis
 Harmonic analysis
 Operator theory
 Functional Analysis
 Fourier Analysis
 Mathematical Modeling and Industrial Mathematics
 Signal, Image and Speech Processing
 Abstract Harmonic Analysis
 Operator Theory
 Label
 Frames and Bases : An Introductory Course, by Ole Christensen, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [307]310) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Frames in Finitedimensional Inner Product Spaces  Infinitedimensional Vector Spaces and Sequences  Bases  Bases and their Limitations  Frames in Hilbert Spaces  Bsplines  Frames of Translates  ShiftInvariant Systems  Gabor Frames in L(R)  Gabor Frames in l(Z)  Wavelet Frames in L(R)
 Dimensions
 unknown
 Edition
 1st ed. 2008.
 Extent
 1 online resource (325 p.)
 Form of item
 online
 Isbn
 9780817646783
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780817646783
 Specific material designation
 remote
 System control number

 (CKB)1000000000440901
 (EBL)371876
 (OCoLC)272306849
 (SSID)ssj0000157825
 (PQKBManifestationID)11182082
 (PQKBTitleCode)TC0000157825
 (PQKBWorkID)10139812
 (PQKB)11335202
 (DEHe213)9780817646783
 (MiAaPQ)EBC371876
 (EXLCZ)991000000000440901
 Label
 Frames and Bases : An Introductory Course, by Ole Christensen, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [307]310) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Frames in Finitedimensional Inner Product Spaces  Infinitedimensional Vector Spaces and Sequences  Bases  Bases and their Limitations  Frames in Hilbert Spaces  Bsplines  Frames of Translates  ShiftInvariant Systems  Gabor Frames in L(R)  Gabor Frames in l(Z)  Wavelet Frames in L(R)
 Dimensions
 unknown
 Edition
 1st ed. 2008.
 Extent
 1 online resource (325 p.)
 Form of item
 online
 Isbn
 9780817646783
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780817646783
 Specific material designation
 remote
 System control number

 (CKB)1000000000440901
 (EBL)371876
 (OCoLC)272306849
 (SSID)ssj0000157825
 (PQKBManifestationID)11182082
 (PQKBTitleCode)TC0000157825
 (PQKBWorkID)10139812
 (PQKB)11335202
 (DEHe213)9780817646783
 (MiAaPQ)EBC371876
 (EXLCZ)991000000000440901
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/FramesandBasesAnIntroductoryCoursebyOle/ehoqKW0V5GY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/FramesandBasesAnIntroductoryCoursebyOle/ehoqKW0V5GY/">Frames and Bases : An Introductory Course, by Ole Christensen, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>