Representations, Wavelets, and Frames (eBook)

A Celebration of the Mathematical Work of Lawrence W. Baggett

Palle E. T. Jorgensen, Kathy D. Merrill, Judith A. Packer (Herausgeber)

eBook Download: PDF

2008 | 2008
XL, 324 Seiten
Birkhäuser Boston (Verlag)
978-0-8176-4683-7 (ISBN)

Infos

The work of Lawrence Baggett has had a profound impact on the field of abstract harmonic analysis and the many areas of mathematics that use its techniques. His sphere of influence ranges from purely theoretical results regarding the representations of locally compact groups to recent applications of wavelets and frames to problems in sampling theory and image compression. Contributions in this volume reflect this broad scope, and Baggett's unusual ability to bring together techniques from disparate fields. Recent applications to problems in sampling theory and image compression are included.

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Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectral-theoretic flavor. The material is self-contained and presented in a pedagogical style that is accessible to students from both pure and applied mathematics while also of interest to engineers.Contributors: C. Benson, M. Bownik, V. Furst, V. W. Guillemin, B. Han, C. Heil, J.A. Hogan, P.E.T. Jorgensen, K. Kornelson, J.D. Lakey, D.R. Larson, K.D. Merrill, J.A. Packer, G. Ratcliff, K. Shuman, M.-S. Song, D.W. Stroock, K.F. Taylor, E. Weber, X. Zhang.

Inhalt

Foreword.-Preface.-Acknowledgments.-Mathematical Family Tree of Lawrence W. Baggett.-Publications of Lawrence W. Baggett.-Co-Workers of Lawrence W. Baggett.-Titles of All Talks.-Part I. Classical and Abstract Harmonic Analysis.- Some Riemann Sums are Better than Others by V.W. Guillemin and D.W. Stroock.-Gelfand Pairs Associated with Finite Heisenberg Groups by C. Benson and G. Ratcliff.-Groups with Atomic Regular Representation by K.F. Taylor.-Wavelet Transforms and Admissible Group Representations by E. Weber.-Part II: Frames and Multiresolution Structures.-The Density Theorem and the Homogeneous Approximation Property for Gabor Frames by C. Heil.-Recent Developments on Dual Wavelet Frames by B. Han.-Characteristic Wavelet Equations and Generalizations of the Spectral Function by V. Furst.-Baggett’s Problem for Frame Wavelets by M. Bownik.-Part III: Wavelet Sets.-Simple Wavelet Sets for Scalar Dilations in R2 by K.D. Merrill.-Interpolation Maps and Congruence Domains for Wavelet Sets by X. Zhang and D.R. Larson.-Part IV: Applications to Dynamical Systems and C*-Algebras.-Orthogonal Exponentials for Bernoulli Iterated Function Systems by P.E.T. Jorgensen, K. Kornelson, and K. Shuman.-A Survey of Projective Multiresolution Analyses and a Projective Multiresolution Analysis Corresponding to the Quincunx Lattice by J.A. Packer.-Part V: Signal and Image Processing.-Sampling and Time-Frequency Localization of Bandlimited and Multiband Signals by J.A. Hogan and J.D. Lakey.-Entropy Encoding in Wavelet Image Compression by M.-S. Song.-Symbols.-Index.

Produkt-Details

• Erscheint lt. Verlag: 29.8.2008
• Reihe/Serie: Applied and Numerical Harmonic Analysis
• Reihe/Serie: Applied and Numerical Harmonic Analysis
• Zusatzinfo: XL, 324 p. 22 illus.
• Verlagsort: Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Schlagworte: coding theorems • Communication • fourier analysis • Gelfand pair • Harmonic Analysis • Image Processing • Interpolation • Representation Theory • Sampling theory • signal analysis • Signal Processing • Symbol • wavelet frames
• ISBN-10: 0-8176-4683-3 / 0817646833
• ISBN-13: 978-0-8176-4683-7 / 9780817646837