Excursions in Harmonic Analysis, Volume 6: In Honor of John Benedetto's 80th Birthday

ISBN-13: 9783030696368 / Angielski / Twarda / 2021 / 440 str.

Matthew Hirn; Shidong Li; Kasso A. Okoudjou

Spis treści

John Benedetto's mathematical work.- Absolute continuity and the Banach-Zaretsky Theorem.- Spectral Synthesis and H1(R).- Universal Upper Bound on the Blowup Rate of Nonlinear Schrodinger Equation with Rotation.- Almost Eigenvalues and Eigenvectors of Almost Mathieu Operators.- Spatio-spectral limiting on rendundant cubes: A case study.- A notion of optimal packings of subspaces with mix-rank and solutions.- Construction of Frames Using Calderon-Zygmund Operator Theory.- Equiangular frames and their duals.- Wavelet sets for crystallographic groups.- Discrete Translates in Function Spaces.- Local-to-global frames and applications to the dynamical sampling problem.- Signal analysis using Born-Jordan-type Distributions.- Sampling by averages and average splines on Dirichlet spaces and on combinatorial graphs.- Dynamical Sampling: a view from Control Theory.- Linear Multiscale Transforms Based on Even-Reversible Subdivision Operators.- Sparsity-Based MIMO Radars.- Robust width: A Characterization of uniformly stable and robust compressed sensing.- On best uniform affine approximants of convex or concave real valued functions from RK, Chebyshev equioscillation and graphics.- A Kaczmarz Algorithm for Solving Tree Based Distributed Systems of Equations.- Maximal function pooling with applications.

Blurb

John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. The chapters in this volume – compiled on the occasion of his 80^th birthday – are written by leading researchers in the field and pay tribute to John’s many significant and lasting achievements. Covering a wide range of topics in harmonic analysis and related areas, these chapters are organized into four main parts: harmonic analysis, wavelets and frames, sampling and signal processing, and compressed sensing and optimization. An introductory chapter also provides a brief overview of John’s life and mathematical career. This volume will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.