Self-Similarity and Multiwavelets in Higher Dimensions

Self-Similarity and Multiwavelets in Higher Dimensions PDF Author: Carlos A Cabrelli
Publisher: American Mathematical Soc.
ISBN: 0821835203
Category : Mathematics
Languages : en
Pages : 98

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Book Description
Let $A$ be a dilation matrix, an$n \times n$ expansive matrix that maps a full-rank lattice $\Gamma \subset \R DEGREESn$ into itself. Let $\Lambda$ be a finite subset of$\Gamma$, and for $k \in \Lambda$ let $c_k$ be $r \times r$ complex ma

Self-Similarity and Multiwavelets in Higher Dimensions

Self-Similarity and Multiwavelets in Higher Dimensions PDF Author: Carlos A Cabrelli
Publisher: American Mathematical Soc.
ISBN: 0821835203
Category : Mathematics
Languages : en
Pages : 98

Get Book Here

Book Description
Let $A$ be a dilation matrix, an$n \times n$ expansive matrix that maps a full-rank lattice $\Gamma \subset \R DEGREESn$ into itself. Let $\Lambda$ be a finite subset of$\Gamma$, and for $k \in \Lambda$ let $c_k$ be $r \times r$ complex ma

Self-similarity and Multiwavelets in Higher Dimension

Self-similarity and Multiwavelets in Higher Dimension PDF Author: Carlos A Cabrelli
Publisher: American Mathematical Soc.
ISBN: 9781470404086
Category : Mathematics
Languages : en
Pages : 82

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Book Description
Introduction Matrices, tiles, and the joint spectral radius Generalized self-similarity and the refinement equation Multiresolution analysis Examples Bibliography Appendix A. Index of symbols.

Self-Similarity and Multiwavelets in Higher Dimensions

Self-Similarity and Multiwavelets in Higher Dimensions PDF Author: Carlos A. Cabrelli Christopher Heil Ursula M. Molter
Publisher: American Mathematical Soc.
ISBN: 9780821865293
Category : Difference equations
Languages : en
Pages : 100

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Book Description


On Musical Self-similarity

On Musical Self-similarity PDF Author: Gabriel Pareyón
Publisher: Gabriel Pareyon
ISBN: 9525431320
Category : Music
Languages : en
Pages : 568

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Book Description


Wavelets and Signal Processing

Wavelets and Signal Processing PDF Author: Lokenath Debnath
Publisher: Springer Science & Business Media
ISBN: 1461200253
Category : Mathematics
Languages : en
Pages : 450

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Book Description
Provides a digest of the current developments, open questions and unsolved problems likely to determine a new frontier for future advanced study and research in the rapidly growing areas of wavelets, wavelet transforms, signal analysis, and signal and image processing. Ideal reference work for advanced students and practitioners in wavelets, and wavelet transforms, signal processing and time-frequency signal analysis. Professionals working in electrical and computer engineering, applied mathematics, computer science, biomedical engineering, physics, optics, and fluid mechanics will also find the book a valuable resource.

Infinite Dimensional Complex Symplectic Spaces

Infinite Dimensional Complex Symplectic Spaces PDF Author: William Norrie Everitt
Publisher: American Mathematical Soc.
ISBN: 0821835459
Category : Mathematics
Languages : en
Pages : 94

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Book Description
Complex symplectic spaces are non-trivial generalizations of the real symplectic spaces of classical analytical dynamics. This title presents a self-contained investigation of general complex symplectic spaces, and their Lagrangian subspaces, regardless of the finite or infinite dimensionality.

A Random Tiling Model for Two Dimensional Electrostatics

A Random Tiling Model for Two Dimensional Electrostatics PDF Author: Mihai Ciucu
Publisher: American Mathematical Soc.
ISBN: 082183794X
Category : Mathematics
Languages : en
Pages : 162

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Book Description
Studies the correlation of holes in random lozenge (i.e., unit rhombus) tilings of the triangular lattice. This book analyzes the joint correlation of these triangular holes when their complement is tiled uniformly at random by lozenges.

The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality

The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality PDF Author: K. R. Goodearl
Publisher: American Mathematical Soc.
ISBN: 0821837168
Category : Mathematics
Languages : en
Pages : 134

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Book Description
Introduction Partial commutative monoids Continuous dimension scales Espaliers Classes of espaliers Bibliography Index

Time‒Frequency and Time‒Scale Methods

Time‒Frequency and Time‒Scale Methods PDF Author: Jeffrey A. Hogan
Publisher: Springer Science & Business Media
ISBN: 0817644318
Category : Mathematics
Languages : en
Pages : 403

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Book Description
Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context. While researchers at the forefront of these areas are well aware of the benefits of such a unified approach, there remains a knowledge gap in the larger community of practitioners about the precise strengths and limitations of Fourier/Gabor analysis versus wavelets. This book fills that gap by presenting the interface of time-frequency and time-scale methods as a rich area of work. "Foundations of Time-Frequency and Time-Scale Methods" will be suitable for applied mathematicians and engineers in signal/image processing and communication theory, as well as researchers and students in mathematical analysis, signal analysis, and mathematical physics.

$v_1$-Periodic Homotopy Groups of $SO(n)$

$v_1$-Periodic Homotopy Groups of $SO(n)$ PDF Author: Martin Bendersky
Publisher: American Mathematical Soc.
ISBN: 0821835890
Category : Mathematics
Languages : en
Pages : 106

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Book Description
Computes the 2-primary $v_1$-periodic homotopy groups of the special orthogonal groups $SO(n)$; the method is to calculate the Bendersky-Thompson spectral sequence, a $K_*$-based unstable homotopy spectral sequence, of $\operatorname{Spin}(n)$.