J. E. Brennan, “Thomson's theorem on mean square polynomial approximation”, Algebra i Analiz, 17:2 (2005), 1–32; St. Petersburg Math. J., 17:2 (2006), 217

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Algebra i Analiz, 2005, Volume 17, Issue 2, Pages 1–32 (Mi aa655)

This article is cited in 13 scientific papers (total in 13 papers)

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Thomson's theorem on mean square polynomial approximation

J. E. Brennan

Department of Mathematics, University of Kentucky, Lexington, USA

Full-text PDF (1599 kB) Citations (13)

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Received: 24.05.2004

English version:
St. Petersburg Mathematical Journal, 2006, Volume 17, Issue 2, Pages 217–238
DOI: https://doi.org/10.1090/S1061-0022-06-00901-0

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Document Type: Article

Language: Russian

Citation: J. E. Brennan, “Thomson's theorem on mean square polynomial approximation”, Algebra i Analiz, 17:2 (2005), 1–32; St. Petersburg Math. J., 17:2 (2006), 217–238

Citation in format AMSBIB

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\paper Thomson's theorem on mean square polynomial approximation

\jour Algebra i Analiz

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\vol 17

\issue 2

\pages 1--32

\mathnet{http://mi.mathnet.ru/aa655}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2159582}

\zmath{https://zbmath.org/?q=an:1101.41010}

\elib{https://elibrary.ru/item.asp?id=9154189}

\transl

\jour St. Petersburg Math. J.

\yr 2006

\vol 17

\issue 2

\pages 217--238

\crossref{https://doi.org/10.1090/S1061-0022-06-00901-0}

Linking options:

https://www.mathnet.ru/eng/aa655

https://www.mathnet.ru/eng/aa/v17/i2/p1

This publication is cited in the following 13 articles:

J. E. Brennan, “The property of unique continuation in certain spaces spanned by rational functions on compact nowhere dense sets”, Algebra i analiz, 36:5 (2024), 1–41
Brennan J.E., “Boundary Values in Spaces Spanned By Rational Functions and the Index of Invariant Subspaces”, Proc. London Math. Soc., 124:4 (2022), 558–586
Shibananda Biswas, Mihai Putinar, “Approximation in the Mean on Rational Curves”, Complex Anal. Oper. Theory, 16:5 (2022)
Putinar M., “Moment Estimates of the Cloud of a Planar Measure”, Acta Appl. Math., 176:1 (2021), 2
Yang L., “Bounded Point Evaluations For Certain Polynomial and Rational Modules”, J. Math. Anal. Appl., 474:1 (2019), 219–241
Yang L., “Spectral Picture For Rationally Multicyclic Subnormal Operators”, Banach J. Math. Anal., 13:1 (2019), 151–173
Escribano C., Gonzalo R., Torrano E., “A Characterization of Polynomial Density on Curves Via Matrix Algebra”, Mathematics, 7:12 (2019), 1231
Yang L., “Bounded Point Evaluations For Rationally Multicyclic Subnormal Operators”, J. Math. Anal. Appl., 458:2 (2018), 1059–1072
J. E. Brennan, C. N. Mattingly, “Approximation by rational functions on compact nowhere dense subsets of the complex plane”, Anal.Math.Phys., 3:3 (2013), 201
St. Petersburg Math. J., 22:1 (2011), 41–53
Aleman A., Richter S., Sundberg C., “A Quantitative Estimate for Bounded Point Evaluations in P-t(mu)-spaces”, Topics in Operator Theory: Operators, Matrices and Analytic Functions, Operator Theory Advances and Applications, 202, 2010, 1–10
Aleman A., Richter S., Sundberg C., “Nontangential limits in $\mathscr P^t(µ)$ -spaces and the index of invariant subspaces”, Ann. of Math. (2), 169:2 (2009), 449–490
Brennan J.E., “On a conjecture of Mergelyan”, J. Contemp. Math. Anal., 43:6 (2008), 341–352

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	191
References:	37
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