The Resource Lectures on constructive approximation : fourier, spline, and wavelet methods on the real line, the sphere, and the ball, Volker Michel
Lectures on constructive approximation : fourier, spline, and wavelet methods on the real line, the sphere, and the ball, Volker Michel
Resource Information
The item Lectures on constructive approximation : fourier, spline, and wavelet methods on the real line, the sphere, and the ball, Volker Michel 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 Lectures on constructive approximation : fourier, spline, and wavelet methods on the real line, the sphere, and the ball, Volker Michel 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
 Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author's lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets. Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of timedependent (spherical) problems. The author then examines the transfer of these spherical methods to problems on the ball, such as the modeling of the Earth's or the brain's interior. Specific topics covered include:* the advantages and disadvantages of Fourier, spline, and wavelet methods* theory and numerics of orthogonal polynomials on intervals, spheres, and balls* cubic splines and splines based on reproducing kernels* multiresolution analysis using wavelets and scaling functionsThis textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra. The work may also be suitable as a selfstudy resource for researchers in the abovementioned fields
 Language
 eng
 Extent
 1 online resource.
 Contents

 Spherical Slepian Functions
 Approximation on the 3D Ball
 Orthonormal Bases
 Splines
 Wavelets for Inverse Problems on the 3D Ball
 The Regularized Functional Matching Pursuit
 Basics
 Basic Fundamentals: What You Need to Know
 Approximation of Functions on the Real Line
 Approximation on the Sphere
 Basic Aspects
 Fourier Analysis
 Spherical Splines
 Spherical Wavelet Analysis
 Isbn
 9780817684037
 Label
 Lectures on constructive approximation : fourier, spline, and wavelet methods on the real line, the sphere, and the ball
 Title
 Lectures on constructive approximation
 Title remainder
 fourier, spline, and wavelet methods on the real line, the sphere, and the ball
 Statement of responsibility
 Volker Michel
 Language
 eng
 Summary
 Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author's lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets. Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of timedependent (spherical) problems. The author then examines the transfer of these spherical methods to problems on the ball, such as the modeling of the Earth's or the brain's interior. Specific topics covered include:* the advantages and disadvantages of Fourier, spline, and wavelet methods* theory and numerics of orthogonal polynomials on intervals, spheres, and balls* cubic splines and splines based on reproducing kernels* multiresolution analysis using wavelets and scaling functionsThis textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra. The work may also be suitable as a selfstudy resource for researchers in the abovementioned fields
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1969
 http://library.link/vocab/creatorName
 Michel, Volker
 Dewey number
 511/.4
 Index
 index present
 LC call number
 QA221
 LC item number
 .M53 2013
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 NLM call number
 Online Book
 Series statement
 Applied and numerical harmonic analysis
 http://library.link/vocab/subjectName

 Approximation theory
 Numerical analysis
 Approximation theory
 Numerical analysis
 Label
 Lectures on constructive approximation : fourier, spline, and wavelet methods on the real line, the sphere, and the ball, Volker Michel
 Antecedent source
 unknown
 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

 Spherical Slepian Functions
 Approximation on the 3D Ball
 Orthonormal Bases
 Splines
 Wavelets for Inverse Problems on the 3D Ball
 The Regularized Functional Matching Pursuit
 Basics
 Basic Fundamentals: What You Need to Know
 Approximation of Functions on the Real Line
 Approximation on the Sphere
 Basic Aspects
 Fourier Analysis
 Spherical Splines
 Spherical Wavelet Analysis
 Control code
 823306149
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9780817684037
 Lccn
 2012948340
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780817684037
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)823306149
 Label
 Lectures on constructive approximation : fourier, spline, and wavelet methods on the real line, the sphere, and the ball, Volker Michel
 Antecedent source
 unknown
 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

 Spherical Slepian Functions
 Approximation on the 3D Ball
 Orthonormal Bases
 Splines
 Wavelets for Inverse Problems on the 3D Ball
 The Regularized Functional Matching Pursuit
 Basics
 Basic Fundamentals: What You Need to Know
 Approximation of Functions on the Real Line
 Approximation on the Sphere
 Basic Aspects
 Fourier Analysis
 Spherical Splines
 Spherical Wavelet Analysis
 Control code
 823306149
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9780817684037
 Lccn
 2012948340
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780817684037
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)823306149
Subject
 Approximation theory
 Approximation theory
 Approximations and Expansions.
 Fourier analysis.
 Functions, special.
 Mathematical Methods in Physics.
 Mathematical physics.
 Mathematics.
 Numerical analysis
 Numerical analysis
 Numerical analysis
 Numerical analysis.
 Special Functions.
 Approximation theory
Member of
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 faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Lecturesonconstructiveapproximationfourier/F6wDmQcgAPw/" 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/Lecturesonconstructiveapproximationfourier/F6wDmQcgAPw/">Lectures on constructive approximation : fourier, spline, and wavelet methods on the real line, the sphere, and the ball, Volker Michel</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 Lectures on constructive approximation : fourier, spline, and wavelet methods on the real line, the sphere, and the ball, Volker Michel
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Lecturesonconstructiveapproximationfourier/F6wDmQcgAPw/" 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/Lecturesonconstructiveapproximationfourier/F6wDmQcgAPw/">Lectures on constructive approximation : fourier, spline, and wavelet methods on the real line, the sphere, and the ball, Volker Michel</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>