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  • Conference proceedings
  • © 2017

Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2)

Celebrating Cora Sadosky's Life

  • Contains survey and research articles by leading experts
  • Features fully-refereed high quality papers exploring new results and trends in spectral theory, mathematical physics, geometric function theory, partial differential equations, and the novel field of chromatic derivatives
  • Examines the remarkable connections between harmonic analysis and operator theory
  • Includes supplementary material: sn.pub/extras

Part of the book series: Association for Women in Mathematics Series (AWMS, volume 5)

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Softcover Book USD 139.99
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  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
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Hardcover Book USD 199.99
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  • Durable hardcover edition
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Table of contents (17 papers)

  1. Front Matter

    Pages i-xx
  2. More Remembrances and photos

    1. Front Matter

      Pages 1-1
    2. Remembering Corita…

      • Margaret Randall
      Pages 3-4
    3. Remembering Cora

      • Neil Hindman
      Pages 5-7
  3. Survey Articles

    1. Front Matter

      Pages 9-9
  4. Research Articles

    1. Front Matter

      Pages 133-133
    2. On Two Weight Estimates for Dyadic Operators

      • Oleksandra Beznosova, Daewon Chung, Jean Carlo Moraes, María Cristina Pereyra
      Pages 135-169
    3. Potential Operators with Mixed Homogeneity

      • Calixto P. Calderón, Wilfredo Urbina
      Pages 171-181
    4. Finding Cycles in Nonlinear Autonomous Discrete Dynamical Systems

      • Dmitriy Dmitrishin, Anna Khamitova, Alexander M. Stokolos, Mihai Tohaneanu
      Pages 199-237
    5. Smooth Analytic Functions and Model Subspaces

      • Konstantin M. Dyakonov
      Pages 239-266
    6. Rational Inner Functions on a Square-Matrix Polyball

      • Anatolii Grinshpan, Dmitry S. Kaliuzhnyi-Verbovetskyi, Victor Vinnikov, Hugo J. Woerdeman
      Pages 267-277
    7. A Note on Local Hölder Continuity of Weighted Tauberian Functions

      • Paul Hagelstein, Ioannis Parissis
      Pages 279-286
    8. Three Observations on Commutators of Singular Integral Operators with BMO Functions

      • Carlos Pérez, Israel P. Rivera-Rı́os
      Pages 287-304
    9. A Two Weight Fractional Singular Integral Theorem with Side Conditions, Energy and k-Energy Dispersed

      • Eric T. Sawyer, Chun-Yen Shen, Ignacio Uriarte-Tuero
      Pages 305-372

About this book

This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model to the case of non-singular measures and applications to the study of rank-one perturbations are included. 

The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on severalspecial sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6,2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional scientist and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.




Editors and Affiliations

  • Department of Mathematics and Statistics, University of New Mexico, Albuquerque, USA

    María Cristina Pereyra

  • Department of Mathematics, Venezuelan Institute for Scientific Research, Caracas, Venezuela

    Stefania Marcantognini

  • Department of Mathematical Sciences, Georgia Southern University, Statesboro, USA

    Alexander M. Stokolos

  • Department of Mathematical and Actuarial Sciences, Roosevelt University Chicago, Chicago, USA

    Wilfredo Urbina

About the editors

Maria Cristina Pereyra is a professor in the Department of Mathematics and Statistics at the University of New Mexico. Her area of interest is Harmonic Analysis, specifically in dyadic harmonic analysis and weighted theory. 

Stefania Marcantognini is a professor in the Department of Mathematics at the Venezuelan Institute for Scientific Research. 


Alexander M. Stokolos is an associate professor in the Department of Mathematical Sciences at Georgia Southern University. 


Wilfredo Urbina Romero is an associate professor in the Department of Mathematics at Roosevelt University. 

Bibliographic Information

  • Book Title: Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2)

  • Book Subtitle: Celebrating Cora Sadosky's Life

  • Editors: María Cristina Pereyra, Stefania Marcantognini, Alexander M. Stokolos, Wilfredo Urbina

  • Series Title: Association for Women in Mathematics Series

  • DOI: https://doi.org/10.1007/978-3-319-51593-9

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Author(s) and the Association for Women in Mathematics 2017

  • Hardcover ISBN: 978-3-319-51591-5Published: 11 July 2017

  • Softcover ISBN: 978-3-319-84693-4Published: 14 August 2018

  • eBook ISBN: 978-3-319-51593-9Published: 10 July 2017

  • Series ISSN: 2364-5733

  • Series E-ISSN: 2364-5741

  • Edition Number: 1

  • Number of Pages: XX, 460

  • Number of Illustrations: 11 b/w illustrations, 46 illustrations in colour

  • Additional Information: Jointly published with The Association for Women in Mathematics 2015

  • Topics: Abstract Harmonic Analysis, Operator Theory, Mathematical Physics

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access