Coverart for item
The Resource Generalized Multiresolution Analyses, by Kathy D. Merrill, (electronic resource)

Generalized Multiresolution Analyses, by Kathy D. Merrill, (electronic resource)

Label
Generalized Multiresolution Analyses
Title
Generalized Multiresolution Analyses
Statement of responsibility
by Kathy D. Merrill
Creator
Subject
Language
eng
Summary
This monograph presents the first unified exposition of generalized multiresolution analyses. Expanding on the author’s pioneering work in the field, these lecture notes provide the tools and framework for using GMRAs to extend results from classical wavelet analysis to a more general setting. Beginning with the basic properties of GMRAs, the book goes on to explore the multiplicity and dimension functions of GMRA, wavelet sets, and generalized filters. The author’s constructions of wavelet sets feature prominently, with figures to illustrate their remarkably simple geometric form. The last three chapters exhibit extensions of wavelet theory and GMRAs to other settings. These include fractal spaces, wavelets with composite dilations, and abstract constructions of GMRAs beyond the usual setting of L2(Rn). This account of recent developments in wavelet theory will appeal to researchers and graduate students with an interest in multiscale analysis from a pure or applied perspective. Familiarity with harmonic analysis and operator theory will be helpful to the reader, though the only prerequisite is graduate level experience with real and functional analysis.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Merrill, Kathy D
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Lecture Notes in Applied and Numerical Harmonic Analysis,
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Harmonic analysis
  • Functional analysis
  • Mathematics
Label
Generalized Multiresolution Analyses, by Kathy D. Merrill, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-99175-7
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- The Invariance of the Core Subspace -- The Multiplicity Function -- Wavelet Sets -- Generalized Filters -- Fractal Spaces -- Composite Dilations and Crystallographic Groups -- Abstract Constructions of GMRAs
Control code
978-3-319-99175-7
Dimensions
unknown
Extent
1 online resource (X, 113 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319991757
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
17 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1056952121
Label
Generalized Multiresolution Analyses, by Kathy D. Merrill, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-99175-7
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- The Invariance of the Core Subspace -- The Multiplicity Function -- Wavelet Sets -- Generalized Filters -- Fractal Spaces -- Composite Dilations and Crystallographic Groups -- Abstract Constructions of GMRAs
Control code
978-3-319-99175-7
Dimensions
unknown
Extent
1 online resource (X, 113 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319991757
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
17 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1056952121

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