On convergence of Fourier series in discrete Jacobi–Sobolev spaces.

Autor: Ciaurri, Ó., Mínguez Ceniceros, J., Rodríguez, J. M.
Předmět:
Zdroj: Integral Transforms & Special Functions; Sep2023, Vol. 34 Issue 9, p703-720, 18p
Abstrakt: In this paper, we show a complete characterization of the uniform boundedness of the partial sum operator in a discrete Sobolev space with Jacobi measure. As a consequence, we obtain the convergence of the Fourier series. Moreover it is showed that this Sobolev space is the first category which implies that it is not possible to apply the Banach–Steinhaus theorem. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index