Books from Sampling Publishing

  1. Wavelets - Detailed Treatment with Applications (with Student's Solutions Manual)
  2. Advances in The Gibbs Phenomenon with Detailed Introduction
  3. Modulation Spaces and Time-Frequency Analysis
  4. Introduction to Integral Equations with Applications (with Student's Solutions Manual)
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Wavelets - Detailed Treatment with Applications (with Student's Solutions Manual)
Abdul J. Jerri
Clarkson University
Σ Sampling Publishing
Potsdam, New York
Copyright ©2007

 Abdul J. Jerri
Σ Sampling Publishing
Potsdam, New York
Copyright ©2007

Publ. 8/2007, 480 pp., ILLUST/HARDCOVER
ISBN 09673301-0-7
Price: $79.95 (With Student's Solutions Manual $99.95) + S & H


Book Contents:

Preface
Acknowledgments
  1. Introduction

  2. Review of Basic Representations of Functions

  3. The Scaling Recurrence Relation

  4. Vector Spaces, Subspaces and Bases

  5. The Fourier Series

  6. The Fourier Transform

  7. The Windowed Fourier and The Continuous Wavelet Transforms

  8. Multiresolution Analysis and Filter Banks

  9. The Fast Daubechies Wavelet Transform (FDWT)

  10. Searching for The Scaling Equation Coefficients

  11. Other Wavelet Topics

  12. Wavelet Applications
Answers to Selected Exercises

* Samples of examples, sections, and a chapter will follow in a month or so.
Wavelets - Detailed Treatment with Applications
Student's Solutions Manual - To Accompany Wavelets - Detailed Treatment with Applications

Advances in The Gibbs Phenomenon with Detailed Introduction
Abdul J. Jerri, Ed.
Clarkson University
Σ Sampling Publishing
Potsdam, New York
Copyright ©2007

Publ. 8/2007, 386 pp., ILLUST/SOFTCOVER
ISBN 0967301-0-8
Price: $79.95 + S & H


Book Contents:

Preface
Contributors
Introduction - A Brief Description of the Contributed Chapters

Part I
Introduction and Basic Review
  1. A Brief Historical Account and Basic Elements
    Abdul J. Jerri Department of Mathematics and Computer Sciences, Clarkson University, Potsdam, New York

  2. The General Orthogonal and Other Expansions
    Abdul J. Jerri Department of Mathematics and Computer Sciences, Clarkson University, Potsdam, New York

  3. The Wavelet Approximations
    Abdul J. Jerri Department of Mathematics and Computer Sciences, Clarkson University, Potsdam, New York
Part II
Advances and Reviews
  1. Defeating Gibbs Phenomenon in Fourier Series and Chebyshev Spectral Methods for Solving Differential Equations
    John P. Boyd Department of Atmospheric, Oceanic, and Space Science, University of Michigan, Ann Arbor, Michigan

  2. Pade'-Based Interpretation and Correction of the Gibbs Phenomenon
    Tobin A. Driscoll Department of Mathematical Sciences, University of Delaware, Newark, Delaware Bengt Fornberg Department of Applied Mathematics, University of Colorado, Boulder, Colorado

  3. The Gibbs Phenomenon for Radial Basis Functions
    Bengt Fornberg Department of Applied Mathematics, University of Colorado, Boulder, Colorado Natasha Flyer National Center for Atmospheric Research, Division of Scintific Computing, Boulder, Colorado

  4. The Resolution of the Gibbs Phenomenon for Fourier Spectral Methods
    Anne Gelb Department of Mathematics and Statistics, Arizona State University, Tempe, Arizona Sigal Gottlieb Department of MAthematics, University of Massachusetts-Dartmouth, Dartmouth, Massachusetts

  5. Gibbs Phenomenon for Sequences of Kernels Defined in Rn and Tn
    Leonade De Michele Department of Applied Mathematics, University of Milano-Brococca, Italy Delfina Roux Department of Applied Mathematics, University of Milano-Brococca, Italy

  6. Gibbs Phenomenon for Interpolative Approximation
    Gilbert Helmberg Institute of Technology, Mathematics, and Geometry, University of Innsburck, Austria

  7. Fourier-Cesaro Approximation in the Hausdorff Metric with Application to Noisy Deconvolution
    David S. Gillian Department of Mathematics and Statistics, Texas Tech. University, Lubbock, Texas Arnoud van Rooij Department of Mathematics, Katholieke University, Nijmegan, The Netherlands Frits Ruymgaast Department of Mathematics and Statistics, Texas Tech. University, Lubbock, Texas

  8. How to Reduce Gibbs Ripples for the Shannon and Meyer's Wavelet Sampling Series
    Costas Karanikas Department of Informatics, Aristotle University of Thessaloniki, Greece Nikolaos Atreas Department of Informatics, Aristotle University of Thessaloniki, Greece

  9. The Gibbs Phenomenon for Orthogonal Wavelets with Compact Support
    Xiaoping Shen Department of Mathematics, Ohio University, Athens, Ohio

Appendix
  1. The Gibbs Surfaces
    Gilbert Helmberg

* Sample sections of some chapters will follow in a month or so.

 Advances in The Gibbs Phenomenon with Detailed Introduction

Modulation Spaces and Time-Frequency Analysis
A Special Issue of Sampling Theory in Signal and Image Processing
An International Journal - Volume 5, Number 2, Pages 109-246, May 2006
Guest Editors:
Karlheinz Grochenig, University of Vienna
Christopher Heil, Georgia Tech.
Σ Sampling Publishing
Potsdam, New York
Copyright ©2006

Publ. 9/2006, 140 pp., SOFTCOVER
ISSN 1530-6429
Price: $49.95 + S & H


Journal Contents:

Hans G. Feichtinger, Modulation Spaces: Looking Back and Ahead

A.J.E.M. Janssen, Zak Transform Characterization of S0

Gitta Kutyniok, Beurling Density and Shift-Invariant Weighted Irregular Gabor Systems

Gotz E. Pfander and David F. Walnut, Operator Identification and Feichtinger's Algebra

Holger Rauhut, Radial Time-Frequency Analysis and Embeddings of Radial Modulation Spaces

Nenad Teofanov, Modulation Spaces, Gelfand-Shilov Spaces and Pseudodifferential Operators

Events of Interest to the Sampling Group
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Instructions for Typesetting Manuscripts
Library Recommendation Form

 Modulation Spaces and Time-Frequency Analysis

Introduction to Integral Equations with Applications (with Student's Solutions Manual)
Abdul J. Jerri
Clarkson University
Copyright ©1996, by Marcel Dekker, Inc.
Copyright ©1998, by Wiley Publishers

 Abdul J. Jerri
Clarkson University
S Σ P, Sampling Publishing
Copyright ©1999

Publ. 6/2007, 480 pp., ILLUST/SOFTCOVER, ISBN 096733101-0-10
Price: $84.95 (with Student's Solution Manual ) + S & H


Book Contents:

Preface
Acknowledgments
  1. Integral Equations, Origin, and Basic Tools

  2. Modeling of Problems as Integral Equations

  3. Volterra Integral Equations

  4. The Green's Function

  5. Fredholm Integral Equations

  6. Existence of the Solutions: Basic Fixed Point Theorems

  7. Higher Quadrature Rules for the Numerical Solutions

Appendix A - The Hankel Transforms
Appendix B - Green's Function for Various Boundary Value Problems
Answers to Exercises
References

 Solutions Manual Contents:

Preface
  1. Integral Equations, Origin, and Basic Tools

  2. Modeling of Problems as Integral Equations

  3. Volterra Integral Equations

  4. The Green's Function

  5. Fredholm Integral Equations

  6. Quadrature Rules for the Numerical Solutions

Appendix A - The Hankel Transforms
Appendix - Trigonometric Identities and Some Basic Integrals
Introduction to Integral Equations with Applications
Student's Solutions Manual - To Accompany Introduction to Integral Equations with Applications