Daniel Potts

Eric Chung

Axel Hutt

Charles K. Chui

Jianfeng Cai

Raluca Eftimie

Hong-Kun Xu

Young Shin Aaron Kim

2022 Applied Mathematics and Statistics – Editor’s Pick

Daniel C Potts M D

Using recovery and Christian faith-based themes, neurologist and author Daniel C. Potts writes poetry about gratitude and spiritual transformation.

Verses of Recovery

Gerlind Plonka

Gabriele Steidl

Manfred Tasche

This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods. It starts with a detailed discussion of classical Fourier theory to enable readers to grasp the construction and analysis of advanced fast Fourier algorithms introduced in the second part, such as nonequispaced and sparse FFTs in higher dimensions. Lastly, it contains a selection of numerical applications, including recent research results on nonlinear function approximation by exponential sums. The code of most of the presented algorithms is available in the authors’ public domain software packages. Students and researchers alike benefit from this unified presentation of Fourier theory and corresponding algorithms.

Numerical Fourier Analysis

Albrecht Böttcher

David Wenzel

Peter Stollmann

This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017. The contributions include both expository essays and original research papers illustrating the diversity and beauty of insights gained by applying operator theory to concrete problems. The topics range from control theory, frame theory, Toeplitz and singular integral operators, Schrödinger, Dirac, and Kortweg-de Vries operators, Fourier integral operator zeta-functions, C*-algebras and Hilbert C*-modules to questions from harmonic analysis, Monte Carlo integration, Fibonacci Hamiltonians, and many more. The book offers researchers in operator theory open problems from applications that might stimulate their work and shows those from various applied fields, such as physics, engineering, or numerical mathematics how to use the potential of operator theory to tackle interesting practical problems.

The Diversity and Beauty of Applied Operator Theory

Daniel Potts

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