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Full Description
This work is a tribute to the life and work of Guido Weiss, a mathematician whose profound contributions shaped the field of harmonic analysis over a span of more than six decades. His groundbreaking research, from pioneering real and complex analysis to his later work on wavelets, continues to influence generations of scholars. More than just a researcher, Guido was a mentor, collaborator, and friend to many, creating a global community of mathematicians. His charisma and generosity fostered lasting professional and personal connections across continents, touching lives far beyond academia.
This volume features contributions of collaborators, students, and colleagues of Guido, who had a particularly intense relationship with him. From a heartfelt remembrance of Guido Weiss to advanced discussions on spectral synthesis and wavelet theory, this collection contains a diverse landscape of mathematical results.
Readers will delve into topics such as the compactness of bilinear commutators, the intricacies of analytic families in extrapolation theory, and the intersections of time-frequency analysis with modern learning techniques. With contributions to Hardy spaces, Haar multipliers, and crystalline measures, this book serves both as a tribute to past achievements and a beacon for future exploration.
Contents
- 1. Guido Weiss: a few memories of a friend and an influential mathematician.- 2. Optimal non-absolute domains for the Cesàro operator minus the identity.- 3. An applicable variant of spectral synthesis for wavelets.- 4. An update on the compactness of bilinear commutators.- 5. Irregularities of distribution on two-point homogeneous spaces.- 6. Analytic families of operators in extrapolation theory with application to average operators.- 7. On Complex Analytic tools, and the Holomorphic Rotation methods.- 8. Speed of convergence in an ergodic theorem.- 9. Characterizations of product Hardy spaces on stratified groups by singular integrals and maximal functions.- 10. A sufficient condition for Haar multipliers in Triebel-Lizorkin spaces.- 11. On frames of smooth, compactly-supported wave packets adapted to tilings of frequency space.- 12. Singular integral operators and Hölder spaces in Dunkl Setting.- 13. An homage to Guido Weiss and his leadership of the Saint Louis team: Commutators of Singular Integrals and Sobolev inequalities.- 14. Time-Frequency Analysis Meets Adversarial Learning.- 15. On Low-Rank Convex-Convex Quadratic Fractional Programming.- 16. Crystalline measures and wave front sets.- 17. Muckenhoupt matrix weights for general bases.
