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Analysis of Divergence

Control and Management of Divergent Processes

  • Book
  • © 1999

Overview

Editors:
  1. William O. Bray

    1. Department of Mathematics and Statistics, University of Maine, Orono, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Časlav V. Stanojević

    1. Department of Mathematics and Statistics, University of Missouri, Rolla, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)

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Table of contents (30 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Overview

    1. Overview

      • William O. Bray, Časlav V. Stanojević
      Pages 1-9

  3. Convergence and Summability

    1. Front Matter

      Pages 11-11
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    2. Tauberian theorems for generalized Abelian summability methods

      • Časlav V. Stanojević, I. Canak, V. B. Stanojević
      Pages 13-26

    3. Series summability of complete biorthogonal sequences

      • William H. Ruckle
      Pages 27-40

    4. Growth of Cesàro means of double Vilenkin-Fourier series of unbounded type

      • W. R. Wade
      Pages 41-50

    5. A substitute for summability in wavelet expansions

      • Gilbert G. Walter, Xiaoping Shen
      Pages 51-63

    6. Expansions in series of Legendre functions

      • E. R. Love, M. N. Hunter
      Pages 65-77

    7. Endpoint convergence of Legendre series

      • Mark A. Pinsky
      Pages 79-85

    8. Inversion of the horocycle transform on real hyperbolic spaces via a wavelet-like transform

      • William O. Bray, Boris Rubin
      Pages 87-105

    9. Fourier-Bessel expansions with general boundary conditions

      • Mark A. Pinsky
      Pages 107-115

  4. Singular Integrals and Multipliers

    1. Front Matter

      Pages 117-117
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    2. Convolution Calderón-Zygmund singular integral operators with rough kernels

      • L. Grafakos, A. Stefanov
      Pages 119-143

    3. Haar multipliers, paraproducts, and weighted inequalities

      • Nets Hawk Katz, María Cristina Pereyra
      Pages 145-170

    4. Multipliers and square functions for H p spaces over Vilenkin groups

      • James E. Daly, Keith L. Phillips
      Pages 171-186

    5. Spectra of pseudo-differential operators in the Hörmander class

      • Josefina Alvarez
      Pages 187-199

    6. Scaling properties of infinitely flat curves and surfaces

      • Alex Iosevich
      Pages 201-212

    7. Some L p(L ∞)– and L 2(L 2)– estimates for oscillatory Fourier transforms

      • Björn G. Walther
      Pages 213-231

    8. Optimal spaces for the S’-convolution with the Marcel Riesz kernels and the N-dimensional Hilbert kernel

      • Josefina Alvarez, Christiane Carton-Lebrun
      Pages 233-248

  5. Integral Operators and Functional Analysis

    1. Front Matter

      Pages 249-249
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Keywords

About this book

The 7th International Workshop in Analysis and its Applications (IWAA) was held at the University of Maine, June 1-6, 1997 and featured approxi­ mately 60 mathematicians. The principal theme of the workshop shares the title of this volume and the latter is a direct outgrowth of the workshop. IWAA was founded in 1984 by Professor Caslav V. Stanojevic. The first meeting was held in the resort complex Kupuri, Yugoslavia, June 1-10, 1986, with two pilot meetings preceding. The Organization Committee to­ gether with the Advisory Committee (R. P. Boas, R. R. Goldberg, J. P. Kahne) set forward the format and content of future meetings. A certain number of papers were presented that later appeared individually in such journals as the Proceedings of the AMS, Bulletin of the AMS, Mathematis­ chen Annalen, and the Journal of Mathematical Analysis and its Applica­ tions. The second meeting took place June 1-10, 1987, at the same location. At the plenary session of this meeting it was decided that future meetings should have a principal theme. The theme for the third meeting (June 1- 10, 1989, Kupuri) was Karamata's Regular Variation. The principal theme for the fourth meeting (June 1-10, 1990, Kupuri) was Inner Product and Convexity Structures in Analysis, Mathematical Physics, and Economics. The fifth meeting was to have had the theme, Analysis and Foundations, organized in cooperation with Professor A. Blass (June 1-10, 1991, Kupuri).

Editors and Affiliations

  • Department of Mathematics and Statistics, University of Maine, Orono, USA

    William O. Bray

  • Department of Mathematics and Statistics, University of Missouri, Rolla, USA

    Časlav V. Stanojević

Bibliographic Information

  • Book Title: Analysis of Divergence

  • Book Subtitle: Control and Management of Divergent Processes

  • Editors: William O. Bray, Časlav V. Stanojević

  • Series Title: Applied and Numerical Harmonic Analysis

  • DOI: https://doi.org/10.1007/978-1-4612-2236-1

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 1999

  • Hardcover ISBN: 978-0-8176-4058-3Due: 01 November 1998

  • Softcover ISBN: 978-1-4612-7467-4Published: 13 June 2012

  • eBook ISBN: 978-1-4612-2236-1Published: 06 December 2012

  • Series ISSN: 2296-5009

  • Series E-ISSN: 2296-5017

  • Edition Number: 1

  • Number of Pages: XX, 568

  • Topics: Applications of Mathematics, Signal, Image and Speech Processing, Functional Analysis

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