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Smooth Analytic Functions and Model Subspaces

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Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2)

Part of the book series: Association for Women in Mathematics Series ((AWMS,volume 5))

Abstract

The main themes of this survey are as follows: (a) the canonical (Riesz–Nevanlinna) factorization in various classes of analytic functions on the disk that are smooth up to its boundary, and (b) model subspaces (i.e., invariant subspaces of the backward shift) in the Hardy spaces H p and in BMOA. It is the interrelationship and a peculiar cross-fertilization between the two topics that we wish to highlight.

Dedicated to the memory of Cora Sadosky

Supported in part by grants MTM2011-27932-C02-01, MTM2014-51834-P from El Ministerio de Economía y Competitividad (Spain) and grant 2014-SGR-289 from AGAUR (Generalitat de Catalunya).

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Authors and Affiliations

  1. Departament de Matemàtiques i Informàtica, BGSMath and Universitat de Barcelona, Gran Via 585, E-08007, Barcelona, Spain

    Konstantin M. Dyakonov

  2. ICREA, Pg. Lluís Companys 23, E-08010, Barcelona, Spain

    Konstantin M. Dyakonov

Authors
  1. Konstantin M. Dyakonov
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Correspondence to Konstantin M. Dyakonov .

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Editors and Affiliations

  1. Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico, USA

    María Cristina Pereyra

  2. Department of Mathematics, Venezuelan Institute for Scientific Research, Caracas, Venezuela

    Stefania Marcantognini

  3. Department of Mathematical Sciences, Georgia Southern University, Statesboro, Georgia, USA

    Alexander M. Stokolos

  4. Department of Mathematical and Actuarial Sciences, Roosevelt University Chicago, Chicago, Illinois, USA

    Wilfredo Urbina

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Dyakonov, K.M. (2017). Smooth Analytic Functions and Model Subspaces. In: Pereyra, M., Marcantognini, S., Stokolos, A., Urbina, W. (eds) Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2). Association for Women in Mathematics Series, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-51593-9_9

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