The Corona Problem : Connections Between Operator Theory, Function Theory, and Geometry

The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toronto, and attended by about fifty mathematicians. This volume validates and commemorates the workshop, and records some of the ideas that were developed within. The corona problem dates back to 1941. It has exerted a powerful influence over mathematical analysis for nearly 75 years. There is material to help bring people up to speed in the latest ideas of the subject, as well as historical material to provide background. Particularly noteworthy is a history of the corona problem, authored by the five organizers, that provides a unique glimpse at how the problem and its many different solutions have developed. There has never been a meeting of this kind, and there has never been a volume of this kind. Mathematicians—bot

ローカル注記:

学内専用E-BOOKS (local access only)

オンライン

http://dx.doi.org/10.1007/978-1-4939-1255-1

所蔵情報

子書誌情報

タイトルが類似している資料

詳細

主題:

Functional Analysis; Functions of a Complex Variable; Mathematics; Operator Theory; Several Complex Variables and Analytic Spaces

分類・件名:

DC23 : 515.9
LCSH : Mathematics
LCSH : Functional analysis
LCSH : Functions of complex variables
LCSH : Operator theory
LCSH : Differential equations, partial
FREE : Mathematics
FREE : Functions of a Complex Variable
FREE : Several Complex Variables and Analytic Spaces
FREE : Operator Theory
FREE : Functional Analysis

TTLL:

eng

言語:

英語

形態:

VIII, 231 p. 5 illus., 3 illus. in color : online resource

目次情報:

The History of the Corona Problem (R.G. Douglas, S.G. Krantz, E.T. Sawyer, S. Treil, B.D. Wick)
Corona Problem for H^¥infty on Riemann Surfaces (A. Brudnyi)
Connections of the Corona Problem with Operator Theory and Complex Geometry (R.G. Douglas)
On the Maximal Ideal Space of a Sarason-Type Algebra on the Unit Ball (J. Eschmeier)
A Subalgebra of the Hardy Algebra Relevant in Control Theory and its Algebraic-Analytic Properties (M. Frentz, A. Sasane)
The Corona Problem in Several Complex Variables (S.G. Krantz)
Corona-Type Theorems and Division in Some Function Algebras on Planar Domains (R. Mortini, R. Rupp)
The Ring of Real-Valued Multivariate Polynomials: An Analyst's Perspective (R. Mortini, R. Rupp)
Structure in the Spectra of Some Multiplier Algebras (R. Rochberg)
Corona Solutions Depending Smoothly on Corona Data (S. Treil, B.D. Wick)
On the Taylor Spectrum of M-Tuples of Analytic Toeplitz Operators on the Polydisk (T.T. Trent)

The History of the Corona Problem (R.G. Douglas, S.G. Krantz, E.T. Sawyer, S. Treil, B.D. Wick)
Corona Problem for H^¥infty on Riemann Surfaces (A. Brudnyi)
Connections of the Corona Problem with Operator Theory and Complex Geometry (R.G. Douglas)
On the Maximal Ideal Space of a Sarason-Type Algebra on the Unit Ball (J. Eschmeier)
A Subalgebra of the Hardy Algebra Relevant in Control Theory and its Algebraic-Analytic Properties (M. Frentz, A. Sasane)
The Corona Problem in Several Complex Variables (S.G. Krantz)

続きを見る

書誌ID:

KB00011115

内容紹介

目次情報

類似資料:

1 電子ブック Recent Progress in Operator Theory and Its Applications Ball, Joseph A., Curto, Raúl E., Grudsky, Sergei M., Helton, J. William, Quiroga-Barranco, Raúl, Vasilevski, Nikolai … Springer Basel	7 電子ブック Operator Theory in Inner Product Spaces [e-books] Förster, Karl-Heinz, Langer, Heinz, Jonas, Peter, Trunk, Carsten, SpringerLink (Online service) Birkhäuser Verlag AG
2 電子ブック Recent Advances in Operator Theory and Applications [e-books] Gohberg, I., Alpay, D., Ando, Tsuyoshi, Arazy, J., Atzmon, A., Ball, J. A., Bart, H., Ben-Artzi, A., Bercovici, H., … Birkhäuser Basel	8 電子ブック Analysis on Fock Spaces Zhu, Kehe, SpringerLink (Online service) Springer US
3 電子ブック Commutative Algebras of Toeplitz Operators on the Bergman Space Vasilevski, Nikolai L., Speck, F., Putinar, M., Verduyn Lunel, S., Dijksma, A., Rodman, L., Rovnyak, J., Kuroda, S. T., … Birkhäuser Basel	9 電子ブック Noncommutative Functional Calculus : Theory and Applications of Slice Hyperholomorphic Functions [e-books] Colombo, Fabrizio, Sabadini, Irene, Struppa, Daniele C., SpringerLink (Online service) Springer Basel AG
4 電子ブック Analysis of Operators on Function Spaces : The Serguei Shimorin Memorial Volume Aleman, Alexandru., Hedenmalm, Haakan., Khavinson, Dmitry., Putinar, Mihai., SpringerLink (Online service) Springer International Publishing : Imprint: Birkhäuser	10 電子ブック Complex Analysis and Dynamical Systems : New Trends and Open Problems Agranovsky, Mark., Golberg, Anatoly., Jacobzon, Fiana., Shoikhet, David., Zalcman, Lawrence., SpringerLink (Online … Springer International Publishing : Imprint: Birkhäuser
5 電子ブック Recent Advances in Operator Theory and its Applications : The Israel Gohberg Anniversary Volume [e-books] Gohberg, Israel, Rovnyak, J., Dijksma, A., Upmeier, H., Treil, S., Spitkovsky, I. M., Seatzu, Sebastiano, Coburn, L. A., … Birkhäuser Verlag Basel	11 電子ブック Recent Advances in Constructive Approximation Theory Gupta, Vijay., Rassias, Themistocles M., Agrawal, P. N., Acu, Ana Maria., SpringerLink (Online service) Springer International Publishing : Imprint: Springer
6 電子ブック Applied Pseudoanalytic Function Theory [e-books] Kravchenko, Vladislav V., SpringerLink (Online service) Birkhäuser Basel	12 電子ブック Derivatives of Inner Functions Mashreghi, Javad, SpringerLink (Online service) Springer New York : Imprint: Springer