Coverart for item
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

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
Creator
Subject
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 time-dependent (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 self-study resource for researchers in the above-mentioned fields
Member of
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
Instantiates
Publication
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
10.1007/978-0-8176-8403-7
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
Publication
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
10.1007/978-0-8176-8403-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)823306149

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      38.944491 -92.326012
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