Author: Carlos A Cabrelli
Publisher: American Mathematical Soc.
ISBN: 0821835203
Category : Mathematics
Languages : en
Pages : 98
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
Author: Carlos A Cabrelli
Publisher: American Mathematical Soc.
ISBN: 0821835203
Category : Mathematics
Languages : en
Pages : 98
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
Publisher: American Mathematical Soc.
ISBN: 0821835203
Category : Mathematics
Languages : en
Pages : 98
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
Author: Carlos A Cabrelli
Publisher: American Mathematical Soc.
ISBN: 9781470404086
Category : Mathematics
Languages : en
Pages : 82
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.
Publisher: American Mathematical Soc.
ISBN: 9781470404086
Category : Mathematics
Languages : en
Pages : 82
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
Author: Carlos A. Cabrelli Christopher Heil Ursula M. Molter
Publisher: American Mathematical Soc.
ISBN: 9780821865293
Category : Difference equations
Languages : en
Pages : 100
Book Description
Publisher: American Mathematical Soc.
ISBN: 9780821865293
Category : Difference equations
Languages : en
Pages : 100
Book Description
On Musical Self-similarity
Author: Gabriel Pareyón
Publisher: Gabriel Pareyon
ISBN: 9525431320
Category : Music
Languages : en
Pages : 568
Book Description
Publisher: Gabriel Pareyon
ISBN: 9525431320
Category : Music
Languages : en
Pages : 568
Book Description
Wavelets and Signal Processing
Author: Lokenath Debnath
Publisher: Springer Science & Business Media
ISBN: 1461200253
Category : Mathematics
Languages : en
Pages : 450
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.
Publisher: Springer Science & Business Media
ISBN: 1461200253
Category : Mathematics
Languages : en
Pages : 450
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
Author: William Norrie Everitt
Publisher: American Mathematical Soc.
ISBN: 0821835459
Category : Mathematics
Languages : en
Pages : 94
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.
Publisher: American Mathematical Soc.
ISBN: 0821835459
Category : Mathematics
Languages : en
Pages : 94
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
Author: Mihai Ciucu
Publisher: American Mathematical Soc.
ISBN: 082183794X
Category : Mathematics
Languages : en
Pages : 162
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.
Publisher: American Mathematical Soc.
ISBN: 082183794X
Category : Mathematics
Languages : en
Pages : 162
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
Author: K. R. Goodearl
Publisher: American Mathematical Soc.
ISBN: 0821837168
Category : Mathematics
Languages : en
Pages : 134
Book Description
Introduction Partial commutative monoids Continuous dimension scales Espaliers Classes of espaliers Bibliography Index
Publisher: American Mathematical Soc.
ISBN: 0821837168
Category : Mathematics
Languages : en
Pages : 134
Book Description
Introduction Partial commutative monoids Continuous dimension scales Espaliers Classes of espaliers Bibliography Index
Time‒Frequency and Time‒Scale Methods
Author: Jeffrey A. Hogan
Publisher: Springer Science & Business Media
ISBN: 0817644318
Category : Mathematics
Languages : en
Pages : 403
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.
Publisher: Springer Science & Business Media
ISBN: 0817644318
Category : Mathematics
Languages : en
Pages : 403
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 $SO(n)$
Author: Martin Bendersky
Publisher: American Mathematical Soc.
ISBN: 0821835890
Category : Mathematics
Languages : en
Pages : 106
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 $\operatorname{Spin}(n)$.
Publisher: American Mathematical Soc.
ISBN: 0821835890
Category : Mathematics
Languages : en
Pages : 106
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 $\operatorname{Spin}(n)$.