fourier analysis on finite groups and applications london mathematical society student texts

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Fourier Analysis On Finite Groups And Applications

Author : Audrey Terras
ISBN : 0521457181
Genre : Mathematics
File Size : 76. 21 MB
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A friendly introduction to Fourier analysis on finite groups, accessible to undergraduates/graduates in mathematics, engineering and the physical sciences.

Harmonic Analysis On Finite Groups

Author : Tullio Ceccherini-Silberstein
ISBN : 9781139470803
Genre : Mathematics
File Size : 39. 11 MB
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Line up a deck of 52 cards on a table. Randomly choose two cards and switch them. How many switches are needed in order to mix up the deck? Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space this book develops the necessary tools for the asymptotic analysis of these processes. This detailed study culminates with the case-by-case analysis of the cut-off phenomenon discovered by Persi Diaconis. This self-contained text is ideal for graduate students and researchers working in the areas of representation theory, group theory, harmonic analysis and Markov chains. Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green's algebras, the complete analysis of the random matchings, and the representation theory of the symmetric group.

Representation Theory And Harmonic Analysis Of Wreath Products Of Finite Groups

Author : Tullio Ceccherini-Silberstein
ISBN : 9781107729919
Genre : Mathematics
File Size : 67. 73 MB
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This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed description of the theory of induced representations and Clifford theory, focusing on a general formulation of the little group method. This provides essential tools for the determination of all irreducible representations of wreath products of finite groups. The exposition also includes a detailed harmonic analysis of the finite lamplighter groups, the hyperoctahedral groups, and the wreath product of two symmetric groups. This relies on the generalised Johnson scheme, a new construction of finite Gelfand pairs. The exposition is completely self-contained and accessible to anyone with a basic knowledge of representation theory. Plenty of worked examples and several exercises are provided, making this volume an ideal textbook for graduate students. It also represents a useful reference for more experienced researchers.

Engineering Applications Of Noncommutative Harmonic Analysis

Author : Gregory S. Chirikjian
ISBN : 9781420041767
Genre : Mathematics
File Size : 57. 7 MB
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The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.

Harmonic Analysis For Engineers And Applied Scientists

Author : Gregory S. Chirikjian
ISBN : 9780486795645
Genre : Mathematics
File Size : 35. 77 MB
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Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups.

Journal Of The Ramanujan Mathematical Society

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ISBN : UOM:39015058979462
Genre : Mathematics
File Size : 58. 16 MB
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Forthcoming Books

Author : Rose Arny
ISBN : UOM:39015058394100
Genre : American literature
File Size : 86. 79 MB
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Choice

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ISBN : UCSC:32106015639989
Genre : Best books
File Size : 20. 23 MB
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Kernels In The Selberg Trace Formula On The K Regular Tree And Zeros Of The Ihara Zeta Function

Author : Derek Brian Newland
ISBN : UCSD:31822009464975
Genre :
File Size : 77. 67 MB
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Handbook Of Numerical Analysis

Author : F. Cucker
ISBN : UCSC:32106016141589
Genre : Mathematics
File Size : 72. 20 MB
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From geometric integration and its applications, and linear programming and condition numbers under the real number computational model, to chaos in finite difference schemes, these essays explore the foundational issues of computational mathematics.

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