General Franklin systems as bases in H¹[0,1]

• Autorzy: Gegham G. Gevorkyan , Anna Kamont
• Języki publikacji: EN

Abstrakty

EN

By a general Franklin system corresponding to a dense sequence of knots 𝓣 = (tₙ, n ≥ 0) in [0,1] we mean a sequence of orthonormal piecewise linear functions with knots 𝓣, that is, the nth function of the system has knots t₀, ..., tₙ. The main result of this paper is a characterization of sequences 𝓣 for which the corresponding general Franklin system is a basis or an unconditional basis in H¹[0,1].

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 167
• Numer: 3
• Strony: 259-292

Daty

wydano

2005

Twórcy

autor

Gegham G. Gevorkyan

• Department of Mathematics, Yerevan State University, Alex Manoukian St. 1, 375049 Yerevan, Armenia

autor

Anna Kamont

• Institute of Mathematics, Polish Academy of Sciences, Abrahama 18, 81-825 Sopot, Poland

Identyfikatory

DOI

10.4064/sm167-3-7