Numerical Functional Analysis and Optimization, Volume 33, Issue 7-9 (2012)

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Numerical Functional Analysis and Optimization, Volume 33, Issue 7-9 (2012)

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Operator Algebras and Representation Theory: Frames, Wavelets, and Fractals

Preface

Introduction
Preface
P. G. Casazza, Palle E. T. Jorgensen, Keri A. Kornelson, Gitta Kutyniok, David R. Larson, Peter Massopust, Gestur Ólafsson, Judith A. Packer, Sergei D. Silvestrov & Qiyu Sun
Pages: 705-707
Published online: 30 Jul 2012
First Page PreviewforPreface | Full Text | PDF (58.7 KB)
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Original Articles

Article
Stochastic Processes Induced by Singular Operators
Daniel Alpay & Palle E. T. Jorgensen
Pages: 708-735
Published online: 30 Jul 2012
AbstractforStochastic Processes Induced by Singular Operators | Full Text | References | PDF (196.2 KB)
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Article
Frames, Semi-Frames, and Hilbert Scales
J.-P. Antoine & P. Balazs
Pages: 736-769
Published online: 30 Jul 2012
AbstractforFrames, Semi-Frames, and Hilbert Scales | Full Text | References | PDF (349.4 KB)
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Article
Fusion Frames and the Restricted Isometry Property
Bernhard G. Bodmann, Jameson Cahill & Peter G. Casazza
Pages: 770-790
Published online: 30 Jul 2012
AbstractforFusion Frames and the Restricted Isometry Property | Full Text | References | PDF (145.4 KB)
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Article
Multiresolution Analysis for Markov Interval Maps
Jana Bohnstengel & Marc Kesseböhmer
Pages: 791-832
Published online: 30 Jul 2012
AbstractforMultiresolution Analysis for Markov Interval Maps | Full Text | References | PDF (423.1 KB)
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Article
Extension of Shift-Invariant Systems in L2(ℝ) to Frames
Marcin Bownik, Ole Christensen, Xinli Huang & Baiyun Yu
Pages: 833-846
Published online: 30 Jul 2012
AbstractforExtension of Shift-Invariant Systems in L2(ℝ) to Frames | Full Text | References | PDF (127.6 KB)
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Article
Coorbit Description and Atomic Decomposition of Besov Spaces
Jens G. Christensen, Azita Mayeli & Gestur Ólafsson
Pages: 847-871
Published online: 30 Jul 2012
AbstractforCoorbit Description and Atomic Decomposition of Besov Spaces | Full Text | References | PDF (173.8 KB)
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Article
Isotropic Shearlet Analogs for L2(ℝk) and Localization Operators
Wojciech Czaja & Emily J. King
Pages: 872-905
Published online: 30 Jul 2012
AbstractforIsotropic Shearlet Analogs for L2(ℝk) and Localization Operators | Full Text | References | PDF (224.3 KB)
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Article
Constructing Fractal Wavelet Frames
Jonas D'Andrea
Pages: 906-927
Published online: 30 Jul 2012
AbstractforConstructing Fractal Wavelet Frames | Full Text | References | PDF (168.7 KB)
  • 166 Views
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Article
Iterative Approximations of Exponential Bases on Fractal Measures
Dorin Ervin Dutkay, Deguang Han & Eric Weber
Pages: 928-950
Published online: 30 Jul 2012
AbstractforIterative Approximations of Exponential Bases on Fractal Measures | Full Text | References | PDF (187.9 KB)
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Article
Fundamental Solutions for Cardinal Interpolation with Reduced Compact Support and Improved Attenuation
David Ellis, Eric Hayashi & Shidong Li
Pages: 951-970
Published online: 30 Jul 2012
AbstractforFundamental Solutions for Cardinal Interpolation with Reduced Compact Support and Improved Attenuation | Full Text | References | PDF (240.1 KB)
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Article
Optimal Frames and Newton's Method
Matthew Fickus & Dustin G. Mixon
Pages: 971-988
Published online: 30 Jul 2012
AbstractforOptimal Frames and Newton's Method | Full Text | References | PDF (214 KB)
  • 114 Views
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Article
Periodic Splines of Complex Order
Brigitte Forster, Peter Massopust & Thomas Übelacker
Pages: 989-1004
Published online: 30 Jul 2012
AbstractforPeriodic Splines of Complex Order | Full Text | References | PDF (269.9 KB)
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Article
Convolution Inequalities in Locally Compact Groups and Unitary Systems
Jean-Pierre Gabardo
Pages: 1005-1030
Published online: 30 Jul 2012
AbstractforConvolution Inequalities in Locally Compact Groups and Unitary Systems | Full Text | References | PDF (168.4 KB)
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Article
Quaternionic Wavelets
J. A. Hogan & Andrew Joel Morris
Pages: 1031-1062
Published online: 30 Jul 2012
AbstractforQuaternionic Wavelets | Full Text | References | PDF (876.9 KB)
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Article
q-Frames and Bessel Functions
P. E. T. Jorgensen & A. M. Paolucci
Pages: 1063-1069
Published online: 30 Jul 2012
Abstractforq-Frames and Bessel Functions | Full Text | References | PDF (93 KB)
  • 96 Views
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Article
An Operator-Fractal
Palle E. T. Jorgensen, Keri A. Kornelson & Karen L. Shuman
Pages: 1070-1094
Published online: 30 Jul 2012
AbstractforAn Operator-Fractal | Full Text | References | PDF (321.4 KB)
  • 125 Views
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Article
On the Numerical Computation of Certain Eigenfunctions of Time and Multiband Limiting
Joseph D. Lakey & Jeffrey A. Hogan
Pages: 1095-1111
Published online: 30 Jul 2012
AbstractforOn the Numerical Computation of Certain Eigenfunctions of Time and Multiband Limiting | Full Text | References | PDF (644.8 KB)
  • 84 Views
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Article
Simple Wavelet Sets for Matrix Dilations in ℝ2
Kathy D. Merrill
Pages: 1112-1125
Published online: 30 Jul 2012
AbstractforSimple Wavelet Sets for Matrix Dilations in ℝ2 | Full Text | References | PDF (279.2 KB)
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Article
Commuting Operators for Representations of Commutation Relations Defined by Dynamical Systems
Tomas Persson & Sergei D. Silvestrov
Pages: 1126-1165
Published online: 30 Jul 2012
AbstractforCommuting Operators for Representations of Commutation Relations Defined by Dynamical Systems | Full Text | References | PDF (236.5 KB)
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Article
Stability of Localized Integral Operators on Weighted Lp Spaces
Kyung Soo Rim, Chang Eon Shin & Qiyu Sun
Pages: 1166-1193
Published online: 30 Jul 2012
AbstractforStability of Localized Integral Operators on Weighted Lp Spaces | Full Text | References | PDF (215.8 KB)
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