Výsledky vyhledávání - "Catherine Bénéteau"

Boundary Behavior of Optimal Polynomial Approximants

Autor: Catherine Bénéteau, Daniel Seco, Myrto Manolaki

Publikováno v: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
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In this paper, we provide an efficient method for computing the Taylor coefficients of $$1-p_n f$$ , where $$p_n$$ denotes the optimal polynomial approximant of degree n to 1/f in a Hilbert space $$H^2_\omega $$ of analytic functions over the unit di

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64936d6c2ef8a8ac1677d4e545b30dfe
https://doi.org/10.1007/s00365-020-09508-z

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A survey of optimal polynomial approximants, applications to digital filter design, and related open problems

Autor: Raymond Centner, Catherine Bénéteau

In the last few years, the notion of optimal polynomial approximant has appeared in the mathematics literature in connection with the Hilbert spaces of analytic functions of one or more variables. In the 1970s, researchers in engineering and applied

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Simultaneous zero-free approximation and universal optimal polynomial approximants

Autor: Myrto Manolaki, Catherine Bénéteau, Daniel Seco, Oleg Ivrii

Publikováno v: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
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Let $E$ be a closed subset of the unit circle of measure zero. Recently, Beise and M\"uller showed the existence of a function in the Hardy space $H^2$ for which the partial sums of its Taylor series approximate any continuous function on $E$. In thi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94aac7806973cea2718361ea36db8065
https://doi.org/10.1016/j.jat.2020.105389

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Remarks on Inner Functions and Optimal Approximants

Autor: Dmitry Khavinson, Alan Sola, Matthew Fleeman, Daniel Seco, Catherine Bénéteau

Publikováno v: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
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e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)

We discuss the concept of inner function in reproducing kernel Hilbert spaces with an orthogonal basis of monomials and examine connections between inner functions and optimal polynomial approximants to $1/f$, where $f$ is a function in the space. We

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61f5cfdee60bbb86a8809b730508eec1
https://doi.org/10.4153/cmb-2017-058-4

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POGIL in the Calculus Classroom

Autor: Catherine Bénéteau, Jill E. Guerra, Zdeňka Guadarrama, Jennifer E. Lewis, Andrei Straumanis, Laurie Lenz

Publikováno v: PRIMUS. 27:579-597

In this paper, we will describe the experience of the authors in using process-oriented guided inquiry learning (POGIL) in calculus at four institutions across the USA. We will briefly examine how POGIL compares to and fits in with other kinds of inq

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::68ede614bfedaf6eec45f668d59bbf26
https://doi.org/10.1080/10511970.2016.1233159

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Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems

Autor: Catherine Bénéteau, Brian Simanek, Daniel Seco, Dmitry Khavinson, Constanze Liaw

We study the structure of the zeros of optimal polynomial approximants to reciprocals of functions in Hilbert spaces of analytic functions in the unit disk. In many instances, we find the minimum possible modulus of occurring zeros via a nonlinear ex

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e8bd3631cc7e027171a986e36ef7648
https://doi.org/10.4171/RMI/1064

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Some open problems in complex and harmonic analysis: Report on problem session held during the conference Completeness problems, Carleson measures, and spaces of analytic functions

Autor: Catherine Bénéteau, Alberto Condori, Constanze Liaw, William Ross, Alan Sola

Publikováno v: Recent Progress on Operator Theory and Approximation in Spaces of Analytic Functions. :207-217

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9bac3c1480d5f6f6cdd5b6b5c91dd131
https://doi.org/10.1090/conm/679/13678

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On the concept of inner function in Hardy and Bergman spaces in multiply connected domains

Autor: Matthew Fleeman, Dmitry Khavinson, Catherine Bénéteau, Alan Sola

We discuss the notion of an inner function for spaces of analytic functions in multiply connected domains in $\mathbb{C}$, giving a historical overview and comparing several possible definitions. We explore connections between inner functions, zero-d

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Cyclicity in Dirichlet-type spaces and extremal polynomials II: functions on the bidisk

Autor: Alan Sola, Constanze Liaw, Alberto A. Condori, Daniel Seco, Catherine Bénéteau

Publikováno v: e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname

We study Dirichlet-type spaces $\mathfrak{D}_{\alpha}$ of analytic functions in the unit bidisk and their cyclic elements. These are the functions $f$ for which there exists a sequence $(p_n)_{n=1}^{\infty}$ of polynomials in two variables such that

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https://doi.org/10.2140/pjm.2015.276.35

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