Generalized multiresolution analyses /
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
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cham, Switzerland :
Birkhäuser,
[2018]
Cham, Switzerland : Birkhäuser, [2018] |
| Series: | Applied and numerical harmonic analysis
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| Subjects: |
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| 100 | 1 | |a Merrill, Kathy Donovan, |e author | |
| 245 | 1 | 0 | |a Generalized multiresolution analyses / |c Kathy D. Merrill |
| 264 | 1 | |a Cham, Switzerland : |b Birkhäuser, |c [2018] | |
| 264 | 1 | |a Cham, Switzerland : |b Birkhäuser, |c [2018] | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Applied and numerical harmonic analysis, |x 2296-5017 | |
| 504 | |a Includes bibliographical references and index | ||
| 505 | 0 | |a Introduction -- The invariance of the core subsace -- The multiplicity function -- Wavelet sets -- Generalized filters -- Fractal spaces -- Composite dilations and crystallographic groups -- Abstract constructions of GMRAs | |
| 520 | |a 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 | ||
| 588 | |a Online resource; title from PDF title page (EBSCO, viewed October 18, 2018) | ||
| 650 | 0 | |a Mathematical analysis | |
| 650 | 7 | |a Complex analysis, complex variables |2 bicssc | |
| 650 | 7 | |a Functional analysis & transforms |2 bicssc | |
| 650 | 7 | |a Integral calculus & equations |2 bicssc | |
| 650 | 7 | |a MATHEMATICS |x Calculus |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis |2 bisacsh | |
| 650 | 7 | |a Mathematical analysis |2 fast | |
| 650 | 1 | 4 | |a Abstract Harmonic Analysis |
| 650 | 1 | 4 | |a Abstract Harmonic Analysis. |
| 650 | 2 | 4 | |a Functional Analysis |
| 650 | 2 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Measure and Integration |
| 650 | 2 | 4 | |a Measure and Integration. |
| 655 | 4 | |a Electronic books | |
| 830 | 0 | |a Applied and numerical harmonic analysis | |
| 880 | 0 | |6 505-00/(S |a Intro; LN-ANHA Series Preface; Contents; 1 Introduction; 1.1 Wavelets and Multiresolution Structures; 1.2 Classes of Examples; References; 2 The Invariance of the Core Subspace; 2.1 Arbitrary Hilbert Spaces and Affine Structures; 2.2 Affine Structures with Abelian Γ; 2.3 The Classical Setting; References; 3 The Multiplicity Function; 3.1 Examples of Multiplicity Functions; 3.2 The Consistency Equation; 3.3 The Dimension Function; 3.4 Characterizing Multiplicity Functions; References; 4 Wavelet Sets; 4.1 Preliminaries; 4.2 Wavelet Sets from Multiplicity Functions | |
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