Orthonormal polynomial bases in function spaces
From MaRDI portal
Publication:1196309
DOI10.1007/BF02776023zbMath0761.46006OpenAlexW2023103657MaRDI QIDQ1196309
Przemysław Wojtaszczyk, Krzysztof Woźniakowski
Publication date: 16 December 1992
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02776023
Trigonometric approximation (42A10) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)
Related Items
Ортогональная система Франклина и ортогональная система финитных функций в численных методах решения краевых задач ⋮ On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions ⋮ On Banach spaces with unconditional bases ⋮ Bases consisting of rational functions of uniformly bounded degrees or more general functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homogeneous polynomials on the ball and polynomial bases
- The Franklin system is an unconditional basis in \(H_ 1\)
- On polynomial ``interpolation in \(L_ 1\)
- Construction of a dyadic interpolations basis in the space of continuous functions using Fejér kernels
- On the norms of interpolating operators
- On orthogonal polynomial bases in the spaces C and L
- Growth of degrees of polynomial bases
- Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
- On unconditional polynomial bases of the space $L_{p}$
- Extensions of Hardy spaces and their use in analysis