Coverart for item
The Resource Frames and Other Bases in Abstract and Function Spaces : Novel Methods in Harmonic Analysis, Volume 1, edited by Isaac Pesenson, Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, Ding-Xuan Zhou, (electronic resource)

Frames and Other Bases in Abstract and Function Spaces : Novel Methods in Harmonic Analysis, Volume 1, edited by Isaac Pesenson, Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, Ding-Xuan Zhou, (electronic resource)

Label
Frames and Other Bases in Abstract and Function Spaces : Novel Methods in Harmonic Analysis, Volume 1
Title
Frames and Other Bases in Abstract and Function Spaces
Title remainder
Novel Methods in Harmonic Analysis
Title number
Volume 1
Statement of responsibility
edited by Isaac Pesenson, Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, Ding-Xuan Zhou
Contributor
Editor
Subject
Language
eng
Summary
The first of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume I is organized around the theme of frames and other bases in abstract and function spaces, covering topics such as: The advanced development of frames, including Sigma-Delta quantization for fusion frames, localization of frames, and frame conditioning, as well as applications to distributed sensor networks, Galerkin-like representation of operators, scaling on graphs, and dynamical sampling. A systematic approach to shearlets with applications to wavefront sets and function spaces. Prolate and generalized prolate functions, spherical Gauss-Laguerre basis functions, and radial basis functions. Kernel methods, wavelets, and frames on compact and non-compact manifolds.--
Member of
Assigning source
Provided by publisher
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Pesenson, Isaac
  • Le Gia, Quoc Thong
  • Mayeli, Azita
  • Mhaskar, Hrushikesh
  • Zhou, Ding-Xuan
Series statement
  • Springer eBooks
  • Applied and Numerical Harmonic Analysis,
http://library.link/vocab/subjectName
  • Mathematics
  • Harmonic analysis
  • Fourier analysis
  • Computer mathematics
  • Numerical analysis
Label
Frames and Other Bases in Abstract and Function Spaces : Novel Methods in Harmonic Analysis, Volume 1, edited by Isaac Pesenson, Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, Ding-Xuan Zhou, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-55550-8
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
Frames: Theory and Practice -- Dynamical Sampling and Systems from Iterative Actions of Operators -- Optimization Methods for Frame Conditioning and Application to Graph Laplacian Scaling -- A Guide to Localized Frames and Applications to Galerkin-Like Representations of Operators -- Computing the Distance between Frames and between Subspaces of a Hilbert Space -- Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks -- Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings -- Numerical Solution to an Energy Concentration Problem Associated with the Special Affine Fourier Transformation -- A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging -- Frame Properties of Shifts of Prolate and Bandpass Prolate Functions -- Fast Fourier Transforms for Spherical Gauss-Laguerre Basis Functions -- Multiscale Radial Basis Functions -- Orthogonal Wavelet Frames on Manifolds Based on Conformal Mappings -- Quasi Monte Carlo Integration and Kernel-Based Function Approximation on Grassmannians -- Construction of Multiresolution Analysis Based on Localized Reproducing Kernels -- Regular Sampling on Metabelian Nilpotent Lie Groups: The Multiplicity-Free Case -- Parseval Space-Frequency Localized Frames on Sub-Riemann Compact Homogeneous Manifolds
Control code
978-3-319-55550-8
Dimensions
unknown
Extent
1 online resource (XIV, 438 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
9783319555508
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-55550-8
Other physical details
62 illustrations, 41 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)990142104
Label
Frames and Other Bases in Abstract and Function Spaces : Novel Methods in Harmonic Analysis, Volume 1, edited by Isaac Pesenson, Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, Ding-Xuan Zhou, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-55550-8
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
Frames: Theory and Practice -- Dynamical Sampling and Systems from Iterative Actions of Operators -- Optimization Methods for Frame Conditioning and Application to Graph Laplacian Scaling -- A Guide to Localized Frames and Applications to Galerkin-Like Representations of Operators -- Computing the Distance between Frames and between Subspaces of a Hilbert Space -- Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks -- Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings -- Numerical Solution to an Energy Concentration Problem Associated with the Special Affine Fourier Transformation -- A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging -- Frame Properties of Shifts of Prolate and Bandpass Prolate Functions -- Fast Fourier Transforms for Spherical Gauss-Laguerre Basis Functions -- Multiscale Radial Basis Functions -- Orthogonal Wavelet Frames on Manifolds Based on Conformal Mappings -- Quasi Monte Carlo Integration and Kernel-Based Function Approximation on Grassmannians -- Construction of Multiresolution Analysis Based on Localized Reproducing Kernels -- Regular Sampling on Metabelian Nilpotent Lie Groups: The Multiplicity-Free Case -- Parseval Space-Frequency Localized Frames on Sub-Riemann Compact Homogeneous Manifolds
Control code
978-3-319-55550-8
Dimensions
unknown
Extent
1 online resource (XIV, 438 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
9783319555508
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-55550-8
Other physical details
62 illustrations, 41 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)990142104

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