Skip to main content
Birkhäuser

From Classical Analysis to Analysis on Fractals

A Tribute to Robert Strichartz, Volume 1

  • Book
  • © 2023

Overview

  • Highlights the many significant contributions Robert Strichartz made to the field of analysis
  • Explores the latest developments in harmonic analysis, analysis on manifolds, and analysis on fractals
  • Features chapters written by distinguished mathematicians

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

eBook USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 139.99
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (12 chapters)

  1. Introduction to This Volume

  2. Functional and Harmonic Analysis on Euclidean Spaces

  3. Analysis on Manifolds

  4. Intrinsic Analysis on Fractals

Keywords

About this book

Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his colleagues and friends. An introductory chapter summarizes his broad and varied mathematical work and highlights his profound contributions as a mathematical mentor. The remaining articles are grouped into three sections – functional and harmonic analysis on Euclidean spaces, analysis on manifolds, and analysis on fractals – and explore Strichartz’ contributions to these areas, as well as some of the latest developments.

Editors and Affiliations

  • Department of Mathematics, Texas A&M University, College Station, USA

    Patricia Alonso Ruiz

  • Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany

    Michael Hinz

  • Department of Mathematics, Tufts University, Medford, USA

    Kasso A. Okoudjou

  • Department of Mathematics, University of Connecticut, Storrs, USA

    Luke G. Rogers, Alexander Teplyaev

About the editors

Patricia Alonso Ruiz is an Assistant Professor at Texas A&M University in College Station, US. She did her Ph.D. at the University of Siegen, Germany (2013), after getting her licentiate degree from the Universidad Complutense de Madrid, Spain. Her research mainly deals with analysis and probability on fractals, with a focus on function spaces, functional inequalities, semigroups, and Dirichlet forms.

Michael Hinz obtained his doctoral degree from Friedrich Schiller University Jena, Germany, and currently works as Wissenschaftliche Mitarbeiter at Bielefeld University, Germany. His research areas are analysis and probability theory, and he is particularly interested in fractal structures and spaces.


Kasso A. Okoudjou is a Professor of Mathematics at Tufts University, USA. He received his Ph.D. in Mathematics from the Georgia Institute of Technology and was an H. C. Wang Assistant Professor at Cornell University. He held positions at the University of Maryland–College Park, Technical University of Berlin, MSRI, and MIT. His research interests include applied and pure harmonic analysis especially time-frequency and time-scale analysis, frame theory, and analysis and differential equations on fractals.


Luke G. Rogers has a Ph.D. from Yale University and is a Professor of Mathematics at the University of Connecticut.  His research is primarily in harmonic and functional analysis on metric measure spaces, especially those with fractal structure.


Alexander Teplyaev is a Professor of Mathematics at the University of Connecticut, USA. He studied probability and mathematical physics in St. Petersburg and at Caltech, has a Ph.D. degree in mathematics from Cornell University, and was a postdoctoral researcher at McMaster University and the University of California with a National Science Foundation fellowship. He also was supported by the Alexander von Humboldt Foundation in Germany and by the Fulbright Program in France. Teplyaev studies irregular structures, such as random or aperiodic non-smooth media, graphs, groups, and fractals. His research deals with spectral, geometric, functional, and probabilistic analysis on singular spaces using symmetric Markov processes and Dirichlet form techniques

Bibliographic Information

Publish with us