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pro vyhledávání: '"Kahler, Stefan"'
Autor:
Kahler, Stefan
Publikováno v:
SIGMA 19 (2023), 103, 18 pages
We consider random walk polynomial sequences $(P_n(x))_{n\in\mathbb{N}_0}\subseteq\mathbb{R}[x]$ given by recurrence relations $P_0(x)=1$, $P_1(x)=x$, $x P_n(x)=(1-c_n)P_{n+1}(x)+c_n P_{n-1}(x),$ $n\in\mathbb{N}$ with $(c_n)_{n\in\mathbb{N}}\subseteq
Externí odkaz:
http://arxiv.org/abs/2306.16411
Autor:
Kahler, Stefan, Szwarc, Ryszard
Publikováno v:
J. Approx. Theory 305 (2025), 106099, 15 pages
Many symmetric orthogonal polynomials $(P_n(x))_{n\in\mathbb{N}_0}$ induce a hypergroup structure on $\mathbb{N}_0$. The Haar measure is the counting measure weighted with $h(n):=1/\int_\mathbb{R}\!P_n^2(x)\,\mathrm{d}\mu(x)\geq1$, where $\mu$ denote
Externí odkaz:
http://arxiv.org/abs/2212.11229
Autor:
Kahler, Stefan, Szwarc, Ryszard
Publikováno v:
In Journal of Approximation Theory January 2025 305
Autor:
Kahler, Stefan
Publikováno v:
J. Approx. Theory 295 (2023), 105946, 21 pages
Many classes of orthogonal polynomials satisfy a specific linearization property giving rise to a polynomial hypergroup structure, which offers an elegant and fruitful link to Fourier analysis, harmonic analysis and functional analysis. From the oppo
Externí odkaz:
http://arxiv.org/abs/2008.08079
Autor:
Kahler, Stefan
Publikováno v:
Constr. Approx. 54 (2021), no. 2, 207-236
In the theory of orthogonal polynomials, as well as in its intersection with harmonic analysis, it is an important problem to decide whether a given orthogonal polynomial sequence $(P_n(x))_{n\in\mathbb{N}_0}$ satisfies nonnegative linearization of p
Externí odkaz:
http://arxiv.org/abs/1812.05542
Autor:
Kahler, Stefan
Publikováno v:
J. Approx. Theory 268 (2021), 105580, 33 pages
An elegant and fruitful way to bring harmonic analysis into the theory of orthogonal polynomials and special functions, or to associate certain Banach algebras with orthogonal polynomials satisfying a specific but frequently satisfied nonnegative lin
Externí odkaz:
http://arxiv.org/abs/1806.00339
Autor:
Kahler, Stefan1,2 (AUTHOR) stefan.kahler@mathA.rwth-aachen.de
Publikováno v:
Constructive Approximation. Oct2021, Vol. 54 Issue 2, p207-236. 30p.
Autor:
Kahler, Stefan
Publikováno v:
Proceedings of the American Mathematical Society, 2016 Jan 01. 144(1), 87-101.
Externí odkaz:
https://www.jstor.org/stable/procamermathsoci.144.1.87