[图书][B] Research problems in function theory

WK Hayman, EF Lingham - 1967 - Springer
In 1967, the first author wrote 'Research Problems in Function Theory', which was published
by the Athlone Press of the University of London. There had been earlier problem collections …

Similarity of operators and geometry of eigenvector bundles

HK Kwon, S Treil - 2009 - projecteuclid.org
SIMILARITY OF OPERATORS AND GEOMETRY OF EIGENVECTOR BUNDLES Hyun-Kyoung
Kwon and Sergei Treil Abstract Contents Notation 418 0. Page 1 Publ. Mat. 53 (2009), 417–438 …

Similarity of n‐hypercontractions and backward Bergman shifts

RG Douglas, HK Kwon, S Treil - Journal of the London …, 2013 - Wiley Online Library
We give a necessary and sufficient condition for an n‐hypercontraction to be similar to the
backward shift operator on a weighted Bergman space. This characterization serves as a …

Banach-valued holomorphic functions on the maximal ideal space of H

A Brudnyi - Inventiones mathematicae, 2013 - Springer
We study Banach-valued holomorphic functions defined on open subsets of the maximal
ideal space of the Banach algebra H∞ of bounded holomorphic functions on the unit disk …

[图书][B] Function theory: interpolation and corona problems

ET Sawyer - 2009 - books.google.com
This monograph contains my lecture notes for a graduate course on function theory at the
Fields Institute in Toronto, Ontario, Canada, that met January through March 2008. In three …

Holomorphic spectral theory: A geometric approach

M Martin - Complex Analysis and Operator Theory, 2022 - Springer
The paper introduces geometric, analytic, and operator theoretic concepts in holomorphic
spectral theory, the part of spectral theory developed by using holomorphic operator valued …

Similarity of quotient Hilbert modules in the Cowen–Douglas class

K Ji, J Sarkar - European Journal of Mathematics, 2019 - Springer
We consider similarity and quasi-affinity problems for Hilbert modules in the Cowen–
Douglas class associated with the complex geometric objects, the hermitian anti …

The Corona Problem

A Brudnyi - Lectures on Analytic Function Spaces and their …, 2023 - Springer
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The problem of ideals of H∞: beyond the exponent 3/2

S Treil - Journal of Functional Analysis, 2007 - Elsevier
The paper deals with the problem of ideals of H∞: describe increasing functions φ⩾ 0 such
that for all bounded analytic functions f1, f2,…, fn, τ in the unit disc D the condition implies …

A history of the corona problem

RG Douglas, SG Krantz, ET Sawyer, S Treil… - The Corona Problem …, 2014 - Springer
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