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
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
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.
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.
Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines
Author: Hagen Meltzer
Publisher: American Mathematical Soc.
ISBN: 082183519X
Category : Mathematics
Languages : en
Pages : 154
Book Description
Deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves.
Publisher: American Mathematical Soc.
ISBN: 082183519X
Category : Mathematics
Languages : en
Pages : 154
Book Description
Deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves.
Mutually Catalytic Super Branching Random Walks: Large Finite Systems and Renormalization Analysis
Author: J. T. Cox
Publisher: American Mathematical Soc.
ISBN: 0821835424
Category : Mathematics
Languages : en
Pages : 114
Book Description
Studies the evolution of the large finite spatial systems in size-dependent time scales and compare them with the behavior of the infinite systems, which amounts to establishing the so-called finite system scheme. This title introduces the concept of a continuum limit in the hierarchical mean field limit.
Publisher: American Mathematical Soc.
ISBN: 0821835424
Category : Mathematics
Languages : en
Pages : 114
Book Description
Studies the evolution of the large finite spatial systems in size-dependent time scales and compare them with the behavior of the infinite systems, which amounts to establishing the so-called finite system scheme. This title introduces the concept of a continuum limit in the hierarchical mean field limit.