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Multivariate Wavelet Frames (Record no. 426665)

MARC details
000 -LEADER
fixed length control field 04493nam a22005535i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number 9789811032059
-- 978-981-10-3205-9
024 7# -
-- 10.1007/978-981-10-3205-9
-- doi
040 ## -
-- ISI Library, Kolkata
050 #4 -
-- QA403.5-404.5
072 #7 -
-- PBKF
-- bicssc
072 #7 -
-- MAT034000
-- bisacsh
072 #7 -
-- PBKF
-- thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number 515.2433
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Skopina, Maria.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Multivariate Wavelet Frames
Medium [electronic resource] /
Statement of responsibility, etc by Maria Skopina, Aleksandr Krivoshein, Vladimir Protasov.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type E-BOOKS
100 1# - MAIN ENTRY--PERSONAL NAME
-- author.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture Singapore :
Name of producer, publisher, distributor, manufacturer Springer Singapore :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture 2016.
300 ## -
-- XIII, 248 p. 2 illus.
-- online resource.
336 ## - CONTENT TYPE
Content Type Term text
Content Type Code txt
Source rdacontent
337 ## - MEDIA TYPE
Media Type Term computer
Media Type Code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier Type Term online resource
Carrier Type Code cr
Source rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# -
-- Industrial and Applied Mathematics,
-- 2364-6837
505 0# -
-- Chapter 1. Bases and Frames in Hilbert Spaces -- Chapter 2. MRA-based Wavelet Bases and Frames -- Chapter 3. Construction of Wavelet Frames -- Chapter 4. Frame-like Wavelet Expansions -- Chapter 5. Symmetric Wavelets -- Chapter 6. Smoothness of Wavelets -- Chapter 7. Special Questions.
520 ## -
-- This book presents a systematic study of multivariate wavelet frames with matrix dilation, in particular, orthogonal and bi-orthogonal bases, which are a special case of frames. Further, it provides algorithmic methods for the construction of dual and tight wavelet frames with a desirable approximation order, namely compactly supported wavelet frames, which are commonly required by engineers. It particularly focuses on methods of constructing them. Wavelet bases and frames are actively used in numerous applications such as audio and graphic signal processing, compression and transmission of information. They are especially useful in image recovery from incomplete observed data due to the redundancy of frame systems. The construction of multivariate wavelet frames, especially bases, with desirable properties remains a challenging problem as although a general scheme of construction is well known, its practical implementation in the multidimensional setting is difficult. Another important feature of wavelet is symmetry. Different kinds of wavelet symmetry are required in various applications, since they preserve linear phase properties and also allow symmetric boundary conditions in wavelet algorithms, which normally deliver better performance. The authors discuss how to provide H-symmetry, where H is an arbitrary symmetry group, for wavelet bases and frames. The book also studies so-called frame-like wavelet systems, which preserve many important properties of frames and can often be used in their place, as well as their approximation properties. The matrix method of computing the regularity of refinable function from the univariate case is extended to multivariate refinement equations with arbitrary dilation matrices. This makes it possible to find the exact values of the Hölder exponent of refinable functions and to make a very refine analysis of their moduli of continuity.
650 #0 -
-- Fourier analysis.
650 #0 -
-- Functional analysis.
650 #0 -
-- Mathematics.
650 14 -
-- Fourier Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M12058
650 24 -
-- Functional Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M12066
650 24 -
-- Applications of Mathematics.
-- http://scigraph.springernature.com/things/product-market-codes/M13003
650 24 -
-- Signal, Image and Speech Processing.
-- http://scigraph.springernature.com/things/product-market-codes/T24051
700 1# -
-- Krivoshein, Aleksandr.
-- author.
-- aut
-- http://id.loc.gov/vocabulary/relators/aut
700 1# -
-- Protasov, Vladimir.
-- author.
-- aut
-- http://id.loc.gov/vocabulary/relators/aut
710 2# -
-- SpringerLink (Online service)
773 0# -
-- Springer eBooks
776 08 -
-- Printed edition:
-- 9789811032042
776 08 -
-- Printed edition:
-- 9789811032066
776 08 -
-- Printed edition:
-- 9789811098178
830 #0 -
-- Industrial and Applied Mathematics,
-- 2364-6837
856 40 -
-- https://doi.org/10.1007/978-981-10-3205-9
912 ## -
-- ZDB-2-SMA
950 ## -
-- Mathematics and Statistics (Springer-11649)

No items available.

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