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Geometric Aspects of Harmonic Analysis

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Paolo Ciatti

    1. Dipartimento di Ingegneria Civile, Edile e Ambientale - ICEA, University of Padova, Padova, Italy

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  2. Alessio Martini

    1. School of Mathematics, University of Birmingham, Birmingham, UK

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  • A recent updated state of the art in harmonic analysis
  • Real variable and combinatorial methods in Fourier analysis
  • A wide range of topics related to geometric analysis and several complex variables

Part of the book series: Springer INdAM Series (SINDAMS, volume 45)

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Table of contents (14 papers)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. An Extension Problem and Hardy Type Inequalities for the Grushin Operator

    • Rakesh Balhara, Pradeep Boggarapu, Sundaram Thangavelu
    Pages 1-28

  3. Sharp Local Smoothing Estimates for Fourier Integral Operators

    • David Beltran, Jonathan Hickman, Christopher D. Sogge
    Pages 29-105

  4. On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective

    • Jean Bourgain, Mariusz Mirek, Elias M. Stein, BÅ‚ażej Wróbel
    Pages 107-148

  5. Potential Spaces on Lie Groups

    • Tommaso Bruno, Marco M. Peloso, Maria Vallarino
    Pages 149-192

  6. On Fourier Restriction for Finite-Type Perturbations of the Hyperbolic Paraboloid

    • Stefan Buschenhenke, Detlef Müller, Ana Vargas
    Pages 193-222

  7. On Young’s Convolution Inequality for Heisenberg Groups

    • Michael Christ
    Pages 223-260

  8. Young’s Inequality Sharpened

    • Michael Christ
    Pages 261-298

  9. Strongly Singular Integrals on Stratified Groups

    • Paolo Ciatti, James Wright
    Pages 299-320

  10. Singular Brascamp–Lieb: A Survey

    • Polona Durcik, Christoph Thiele
    Pages 321-349

  11. On the Restriction of Laplace–Beltrami Eigenfunctions and Cantor-Type Sets

    • Suresh Eswarathasan, Malabika Pramanik
    Pages 351-360

  12. Basis Properties of the Haar System in Limiting Besov Spaces

    • Gustavo Garrigós, Andreas Seeger, Tino Ullrich
    Pages 361-424

  13. Obstacle Problems Generated by the Estimates of Square Function

    • Irina Holmes, Alexander Volberg
    Pages 425-453

  14. Of Commutators and Jacobians

    • Tuomas P. Hytönen
    Pages 455-466

  15. On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators

    • Loredana Lanzani, Elias M. Stein
    Pages 467-479
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Keywords

About this book

This volume originated in talks given in Cortona at the conference "Geometric aspects of harmonic analysis" held in honor of the 70th birthday of Fulvio Ricci. It presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest mathematicians working in these areas. The subjects dealt with are topics of current interest in closely interrelated areas of Fourier analysis, singular integral operators, oscillatory integral operators, partial differential equations, multilinear harmonic analysis, and several complex variables.
The work is addressed to researchers in the field.

Editors and Affiliations

  • Dipartimento di Ingegneria Civile, Edile e Ambientale - ICEA, University of Padova, Padova, Italy

    Paolo Ciatti

  • School of Mathematics, University of Birmingham, Birmingham, UK

    Alessio Martini

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