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1.

図書
図書
1. Wavelet methods for time series analysis
Donald B. Percival, Andrew T. Walden
出版情報: Cambridge : Cambridge University Press, 2000  xxv, 594 p. ; 27 cm
シリーズ名: Cambridge series on statistical and probabilistic mathematics
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Introduction to wavelets / 1：
Review of Fourier theory and filters / 2：
Orthonormal transforms of time series / 3：
The discrete wavelet transform / 4：
The maximal overlap discrete wavelet transform / 5：
The discrete wavelet packet transform / 6：
Random variables and stochastic processes / 7：
The wavelet variance / 8：
Analysis and synthesis of long memory processes / 9：
Wavelet-based signal estimation / 10：
Wavelet analysis of finite energy signals / 11：
Appendix. Answers to embedded exercises
References
Author index
Subject index
Introduction to wavelets / 1：
Review of Fourier theory and filters / 2：
Orthonormal transforms of time series / 3：
2.

図書
図書
2. Complex harmonic splines, periodic quasi-wavelets : theory and applications
by Han-lin Chen
出版情報: Dordrecht ; Boston : Kluwer Academic, c2000  xii, 226 p. ; 25 cm
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3.

図書
図書
3. Fourier and wavelet analysis
George Bachman, Lawrence Narici, Edward Beckenstein
出版情報: New York : Springer, c2000  ix, 505 p. ; 25 cm
シリーズ名: Universitext
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4.

図書
図書
4. An introduction to wavelets through linear algebra
Michael W. Frazier
出版情報: New York ; Tokyo : Springer, c1999  xvi, 501 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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Preface
Acknowledgments
Prologue: Compression of the FBI Fingerprint Files
Background: Complex Numbers and Linear Algebra / 1：
Real Numbers and Complex Numbers / 1.1：
Complex Series, Euler's Formula, and the Roots of Unity / 1.2：
Vector Spaces and Bases / 1.3：
Linear Transformations, Matrices, and Change of Basis / 1.4：
Diagonalization of Linear Transformations and Matrices / 1.5：
Inner Products, Orthonormal Bases, and Unitary Matrices / 1.6：
The Discrete Fourier Transform / 2：
Basic Properties of the Discrete Fourier Transform / 2.1：
Translation-Invariant Linear Transformations / 2.2：
The Fast Fourier Transform / 2.3：
Wavelets on $bZ_N$ / 3：
Construction of Wavelets on $bZ_N$: The First Stage / 3.1：
Construction of Wavelets on $bZ_N$: The Iteration Step / 3.2：
Examples and Applications / 3.3：
Wavelets on $bZ$ / 4：
$ ell ^2(bZ)$ / 4.1：
Complete Orthonormal Sets in Hilbert Spaces / 4.2：
$L^2([- pi , pi ))$ and Fourier Series / 4.3：
The Fourier Transform and Convolution on $ ell ^2(bZ)$ / 4.4：
First-Stage Wavelets on $bZ$ / 4.5：
The Iteration Step for Wavelets on $bZ$ / 4.6：
Implementation and Examples / 4.7：
Wavelets on $bR$ / 5：
$L^2(bR)$ and Approximate Identities / 5.1：
The Fourier Transform on $bR$ / 5.2：
Multiresolution Analysis and Wavelets / 5.3：
Construction of Multiresolution Analyses / 5.4：
Wavelets with Compact Support and Their Computation / 5.5：
Wavelets and Differential Equations / 6：
The Condition Number of a Matrix / 6.1：
Finite Difference Methods for Differential Equations / 6.2：
Wavelet-Galerkin Methods for Differential Equations / 6.3：
Bibliography
Index
Preface
Acknowledgments
Prologue: Compression of the FBI Fingerprint Files
5.

図書
図書
5. Wavelets : the key to intermittent information?
edited by B.W. Silverman and J.C. Vassilicos
出版情報: Oxford ; New York : Oxford University Press, c1999,2000  xiv, 256 p., [1] p. of plate ; 24 cm
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Contributors
Wavelets on irregular point sets / Ingrid Daubechies et al.1：
Revealing a lognormal cascading process in turbulent velocity statistics with wavelet analysis / A. Arneodo et al.2：
Wavelets for the study of intermittency and its topology / F. Nicolleau ; J. C. Vassilicos3：
Wavelets in statistics: beyond the standard assumptions / Bernard W. Silverman4：
Wavelets and the theory of non-parametric function estimation / Iain M. Johnstone5：
Ridgelets: a key to higher-dimensional intermittency? / Emmanuel J. Candes ; David L. Donoho6：
Wavelets in time-series analysis / Guy P. Nason ; Rainer von Sachs7：
Wavelets, vision and the statistics of natural scenes / D. J. Field8：
Image processing with complex wavelets / Nick Kingsbury9：
Application of wavelets to filtering of noisy data / Ue-Li Pen10：
Approximation and compression of piecewise smooth functions / Paolo Prandoni ; Martin Vetterli11：
The contribution of wavelets to the analysis of economic and financial data / James B. Ramsey12：
Harmonic wavelets in vibrations and acoustics / D. E. Newland13：
Contributors
Wavelets on irregular point sets / Ingrid Daubechies et al.1：
Revealing a lognormal cascading process in turbulent velocity statistics with wavelet analysis / A. Arneodo et al.2：
6.

図書
図書
6. Wavelets made easy (: Boston ; : Basel)
Yves Nievergelt
出版情報: Boston : Birkhäuser, c1999  xi, 297 p. ; 25 cm
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7.

図書
図書
7. Wavelets, vibrations, and scalings
Yves Meyer
出版情報: Providence, R.I. : American Mathematical Society, c1998  ix, 133 p. ; 27 cm
シリーズ名: CRM monograph series ; v. 9
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8.

図書
図書
8. Multiscale wavelet methods for partial differential equations
edited by Wolfgang Dahmen, Andrew Kurdila, Peter Oswald
出版情報: San Diego : Academic Press, c1997  xiv, 570 p.: ill. ; 24 cm
シリーズ名: Wavelet analysis and its applications ; v. 6
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FEM-Like Multilevel Preconditioning / P. Oswald
Multilevel Solvers for Elliptic Problems on Domains / P. Vassilevski ; J. Wang
Wavelet-Like Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs
Fast Wavelet al.gorithms: Compression and Adaptivity: S. Bertoluzza, An Adaptive Collocation Method Based on Interpolating / Wavelets G. Beylkin ; J. Keiser
An Adaptive Pseudo-Wavelet Approach for Solving Nonlinear Partial Differential Equations / P. Joly ; Y. Maday ; V. Perrier
A Dynamical Adaptive Concept Based on Wavelet Packet Best Bases: Application to Convection Diffusion Partial Differential Equations / S. Dahlke ; W. Dahmen ; R. DeVore
Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator Equations
Wavelet Solvers for Integral Equations / T. von Petersdorff ; C. Schwab
Fully Discrete Multiscale Galerkin BEM / A. Rieder
Wavelet Multilevel Solvers for Linear Ill-Posed Problems Stabilized by Tikhonov Regularization
Software Tools and Numerical Experiments / T. Barsch ; A. Kunoth ; K. Urban
Towards Object Oriented Software Tools for Numerical Multiscale Methods for PDEs Using Wavelets / J. Ko ; A. Kurdila
Scaling Function and Wavelet Preconditioners for Second Order Elliptic Problems
Multiscale Interaction and Applications to Turbulence / J. Elezgaray ; G. Berkooz ; H. Dankowicz ; P. Holmes ; M. Myers
Local Models and Large Scale Statistics of the Kuramoto-Sivashinsky Equation / M. Wickerhauser ; M. Farge ; E. Goirand
Theoretical Dimension and the Complexity of Simulated Turbulence
Wavelet Analysis of Partial Differential Operators / J-M. Angeletti ; S. Mazet ; P. Tchamitchian
Analysis of Second-Order Elliptic Operators Without Boundary Conditions and With VMO or Hilderian Coefficients / M. Holschneider
Some Directional Elliptic Regularity for Domains with Cusps
Subject Index
FEM-Like Multilevel Preconditioning / P. Oswald
Multilevel Solvers for Elliptic Problems on Domains / P. Vassilevski ; J. Wang
Wavelet-Like Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs
9.

図書
図書
9. Wavelet theory and harmonic analysis in applied sciences (: hc)
C.E. D'Attellis, E.M. Fernández-Berdaguer, editors
出版情報: Boston, Mass. : Birkhäuser, 1997  xviii, 345 p. ; 24 cm
シリーズ名: Applied and numerical harmonic analysis / series editor, John J. Benedetto
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10.

図書
図書
10. Wavelets : theory and applications
A.K. Louis, P. Maaß, A. Rieder
出版情報: Chichester : Wiley, c1997  xvii, 324 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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The Continuous Wavelets Transform
The Discrete Wavelet Transform
Applications of the Wavelet Transform
Appendix
References
Index
The Continuous Wavelets Transform
The Discrete Wavelet Transform
Applications of the Wavelet Transform
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