The Resource Fourier analysis on finite Abelian groups, Bao Luong
Fourier analysis on finite Abelian groups, Bao Luong
Resource Information
The item Fourier analysis on finite Abelian groups, Bao Luong represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Fourier analysis on finite Abelian groups, Bao Luong represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- Fourier analysis has been the inspiration for a technological wave of advances in fields such as imaging processing, financial modeling, cryptography, algorithms, and sequence design. This self-contained book provides a thorough look at the Fourier transform, one of the most useful tools in applied mathematics. With countless examples and unique exercise sets at the end of most sections, Fourier Analysis on Finite Abelian Groups is a perfect companion for a first course in Fourier analysis. The first two chapters provide fundamental material for a strong foundation to deal with subsequent chapters. Special topics covered include: * Computing eigenvalues of the Fourier transform * Applications to Banach algebras * Tensor decompositions of the Fourier transform * Quadratic Gaussian sums This book provides a useful introduction for well-prepared undergraduate and graduate students and powerful applications that may appeal to researchers and mathematicians. The only prerequisites are courses in group theory and linear algebra
- Language
- eng
- Extent
- 1 online resource (xvi, 156 pages)
- Contents
-
- Preface
- Overview
- Chapter 1: Foundation Material
- Results from Group Theory
- Quadratic Congruences
- Chebyshev Systems of Functions
- Chapter 2: The Fourier Transform
- A Special Class of Linear Operators
- Characters
- The Orthogonal Relations for Characters
- The Fourier Transform
- The Fourier Transform of Periodic Functions
- The Inverse Fourier Transform
- The Inversion Formula
- Matrices of the Fourier Transform
- Iterated Fourier Transform
- Is the Fourier Transform a Self-Adjoint Operator?
- The Convolutions Operator
- Banach Algebra
- The Uncertainty Principle
- The Tensor Decomposition
- The Tensor Decomposition of Vector Spaces
- The Fourier Transform and Isometries
- Reduction to Finite Cyclic Groups
- Symmetric and Antisymmetric Functions
- Eigenvalues and Eigenvectors
- Spectrak Theorem
- Ergodic Theorem
- Multiplicities of Eigenvalues
- The Quantum Fourier Transform
- Chapter 3: Quadratic Sums
- 1. The Number G_n(1)
- Reduction Formulas
- Isbn
- 9780817649166
- Label
- Fourier analysis on finite Abelian groups
- Title
- Fourier analysis on finite Abelian groups
- Statement of responsibility
- Bao Luong
- Language
- eng
- Summary
- Fourier analysis has been the inspiration for a technological wave of advances in fields such as imaging processing, financial modeling, cryptography, algorithms, and sequence design. This self-contained book provides a thorough look at the Fourier transform, one of the most useful tools in applied mathematics. With countless examples and unique exercise sets at the end of most sections, Fourier Analysis on Finite Abelian Groups is a perfect companion for a first course in Fourier analysis. The first two chapters provide fundamental material for a strong foundation to deal with subsequent chapters. Special topics covered include: * Computing eigenvalues of the Fourier transform * Applications to Banach algebras * Tensor decompositions of the Fourier transform * Quadratic Gaussian sums This book provides a useful introduction for well-prepared undergraduate and graduate students and powerful applications that may appeal to researchers and mathematicians. The only prerequisites are courses in group theory and linear algebra
- Cataloging source
- GW5XE
- http://library.link/vocab/creatorName
- Luong, Bao
- Dewey number
- 515/.2433
- Illustrations
- illustrations
- Index
- index present
- Language note
- English
- LC call number
- QA403.5
- LC item number
- .L86 2009
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Series statement
- Applied and numerical harmonic analysis
- http://library.link/vocab/subjectName
-
- Fourier analysis
- Abelian groups
- Finite groups
- Abelian groups
- Finite groups
- Fourier analysis
- Fourier-Transformation
- Label
- Fourier analysis on finite Abelian groups, Bao Luong
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Preface -- Overview -- Chapter 1: Foundation Material -- Results from Group Theory -- Quadratic Congruences -- Chebyshev Systems of Functions -- Chapter 2: The Fourier Transform -- A Special Class of Linear Operators -- Characters -- The Orthogonal Relations for Characters -- The Fourier Transform -- The Fourier Transform of Periodic Functions -- The Inverse Fourier Transform -- The Inversion Formula -- Matrices of the Fourier Transform -- Iterated Fourier Transform -- Is the Fourier Transform a Self-Adjoint Operator? -- The Convolutions Operator -- Banach Algebra -- The Uncertainty Principle -- The Tensor Decomposition -- The Tensor Decomposition of Vector Spaces -- The Fourier Transform and Isometries -- Reduction to Finite Cyclic Groups -- Symmetric and Antisymmetric Functions -- Eigenvalues and Eigenvectors -- Spectrak Theorem -- Ergodic Theorem -- Multiplicities of Eigenvalues -- The Quantum Fourier Transform -- Chapter 3: Quadratic Sums -- 1. The Number G_n(1) -- Reduction Formulas
- Control code
- 656399104
- Dimensions
- unknown
- Extent
- 1 online resource (xvi, 156 pages)
- Form of item
- online
- Isbn
- 9780817649166
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-0-8176-4916-6
- Other physical details
- illustrations.
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-0-8176-4915-9
- Publisher number
- 12548750
- Specific material designation
- remote
- System control number
- (OCoLC)656399104
- Label
- Fourier analysis on finite Abelian groups, Bao Luong
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Preface -- Overview -- Chapter 1: Foundation Material -- Results from Group Theory -- Quadratic Congruences -- Chebyshev Systems of Functions -- Chapter 2: The Fourier Transform -- A Special Class of Linear Operators -- Characters -- The Orthogonal Relations for Characters -- The Fourier Transform -- The Fourier Transform of Periodic Functions -- The Inverse Fourier Transform -- The Inversion Formula -- Matrices of the Fourier Transform -- Iterated Fourier Transform -- Is the Fourier Transform a Self-Adjoint Operator? -- The Convolutions Operator -- Banach Algebra -- The Uncertainty Principle -- The Tensor Decomposition -- The Tensor Decomposition of Vector Spaces -- The Fourier Transform and Isometries -- Reduction to Finite Cyclic Groups -- Symmetric and Antisymmetric Functions -- Eigenvalues and Eigenvectors -- Spectrak Theorem -- Ergodic Theorem -- Multiplicities of Eigenvalues -- The Quantum Fourier Transform -- Chapter 3: Quadratic Sums -- 1. The Number G_n(1) -- Reduction Formulas
- Control code
- 656399104
- Dimensions
- unknown
- Extent
- 1 online resource (xvi, 156 pages)
- Form of item
- online
- Isbn
- 9780817649166
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-0-8176-4916-6
- Other physical details
- illustrations.
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-0-8176-4915-9
- Publisher number
- 12548750
- Specific material designation
- remote
- System control number
- (OCoLC)656399104
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Fourier-analysis-on-finite-Abelian-groups-Bao/PQ0dPXyBBWA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Fourier-analysis-on-finite-Abelian-groups-Bao/PQ0dPXyBBWA/">Fourier analysis on finite Abelian groups, Bao Luong</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item Fourier analysis on finite Abelian groups, Bao Luong
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Fourier-analysis-on-finite-Abelian-groups-Bao/PQ0dPXyBBWA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Fourier-analysis-on-finite-Abelian-groups-Bao/PQ0dPXyBBWA/">Fourier analysis on finite Abelian groups, Bao Luong</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
