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Higher Dimensions by Carlos A. Cabrelli, Christopher Heil, Ursula M. Molter
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**About this book :- **
**Higher Dimensions ** written by
** Carlos A. Cabrelli, Christopher Heil, Ursula M. Molter **

This volume traces the development of modern wavelet theory by collecting into one place many of the fundamental original papers in signal processing, physics, and mathematics that stimulated the rise of wavelet theory, along with many major papers in the early development of the subject. The volume is a sourcebook for some of the most significant research papers in the subject and provides a way for a researcher who understands wavelets in his or her own milieu to get a glimpse of the development of the subject from another perspective.

A key feature of this volume is the appearance for the first time of a translation from the German of the original 1910 paper of Alfred Haar in which he described the orthonormal basis that now bears his name, along with translations of six papers heretofore available only in French. We are greatly indebted to John Horv´ath, Robert Ryan, and Georg Zimmermann for these translations.

The articles in the volume are divided by subject matter into seven sections, and each section is introduced by a prominent researcher in that field. These introductory essays provide a unifying perspective on the papers in each section. We are greatly indebted to Jelena Kovaˇcevi´c, Jean-Pierre Antoine, Hans Feichtinger, Yves Meyer, Guido Weiss, and Victor Wickerhauser for their contributions. We are also indebted to John Benedetto for his essay introducing the entire volume, which provides a personal account of the intellectual precursors to and the historical development of wavelet theory.

(Christopher Heil)

**Book Detail :- **
** Title: ** Higher Dimensions
** Edition: **
** Author(s): ** Carlos A. Cabrelli, Christopher Heil, Ursula M. Molter
** Publisher: ** Amer Mathematical Society
** Series: ** Memoirs AMS 807
** Year: ** 2004
** Pages: ** 98
** Type: ** PDF
** Language: ** English
** ISBN: ** 0821835203,9780821835203
** Country: ** US

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**About Author :- **

Author ** Christopher Heil ** is from Georgia Institute of Technology. Heil has been involved in teaching calculus, linear algebra, analysis, and abstract algebra at Georgia Tech since 1993. He is an experienced author and served as a consultant on the previous edition of this text. His research is in harmonic analysis, including time-frequency analysis, wavelets, and operator theory.

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF University Calculus: Early Trans (4E) by Joel R. Hass, Christopher E Heil, Przemyslaw Bogacki, Maurice D Weir, George B. Thomas **

** • Download PDF A Basis Theory Primer: Expanded Edition by Christopher Heil **

** • Download PDF Harmonic Analysis and Applications by Christopher Heil **** **

** • Download PDF Metrics, Norms, Inner Products, and Operator Theory by Christopher Heil **

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** • Download PDF A Higher Dimensions by Carlos A. Cabrelli, Christopher Heil, Ursula M. Molter **

** • Download PDF Wavelets, Frames and Operator Theory by Christopher Heil, Palle E. T. Jorgensen, David R. Larson **

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**Book Contents :- **
**Higher Dimensions ** written by
** Carlos A. Cabrelli, Christopher Heil, Ursula M. Molter **
cover the following topics.

1. Introduction

2. Matrices, Tiles and the Joint Spectral Badius

3. Generalized Self-Similarity and the Refinement Equation

4. Multiresolution Analysis

5. Examples

Bibliography

Appendix : Index of Symbols

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