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Recent Progress in Function Theory and Operator Theory

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B01=Alan A. Sola
B01=Alberto Condori
B01=Elodie Pozzi
B01=William T. Ross
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Product details

  • ISBN 9781470472467
  • Weight: 272g
  • Dimensions: 178 x 254mm
  • Publication Date: 30 Jun 2024
  • Publisher: American Mathematical Society
  • Publication City/Country: US
  • Product Form: Paperback
  • Language: English
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Description
This volume contains the proceedings of the AMS Special Session on Recent Progress in Function Theory and Operator Theory, held virtually on April 6, 2022. Function theory is a classical subject that examines the properties of individual elements in a function space, while operator theory usually deals with concrete operators acting on such spaces or other structured collections of functions. These topics occupy a central position in analysis, with important connections to partial differential equations, spectral theory, approximation theory, and several complex variables. With the aid of certain canonical representations or ""models"", the study of general operators can often be reduced to that of the operator of multiplication by one or several independent variables, acting on spaces of analytic functions or compressions of this operator to co-invariant subspaces. In this way, a detailed understanding of operators becomes connected with natural questions concerning analytic functions, such as zero sets, constructions of functions constrained by norms or interpolation, multiplicative structures granted by factorizations in spaces of analytic functions, and so forth. In many cases, non-obvious problems initially motivated by operator-theoretic considerations turn out to be interesting on their own, leading to unexpected challenges in function theory.

The research papers in this volume deal with the interplay between function theory and operator theory and the way in which they influence each other.
About
Alberto Condori, Florida Gulf Coast University, Fort Meyers, FL.

Elodie Pozzi, St. Louis University, MO.

William T. Ross, University of Richmond, VA.

Alan A. Sola, Stockholm University, Sweden.