Tauberian conditions for absolute convergence.
Tauberian conditions for -convergence of modified complex trigonometric sums.
Tauberian L1-Convergence Classes of Fourier Series. II.
The Banach Algebra A* and Its Problems.
The Bohr-Pál theorem and the Sobolev space
The well-known Bohr-Pál theorem asserts that for every continuous real-valued function f on the circle there exists a change of variable, i.e., a homeomorphism h of onto itself, such that the Fourier series of the superposition f ∘ h converges uniformly. Subsequent improvements of this result imply that actually there exists a homeomorphism that brings f into the Sobolev space . This refined version of the Bohr-Pál theorem does not extend to complex-valued functions. We show that if α < 1/2,...
The Fourier Character Of Series With Slowly Varying Convergence Moduli
The localization principle for double Fourier series
The RCWA method - A case study with open questions and perspectives of algebraic computations.
The regularity properties on the real line
The remainder term in Fourier series and its relationship with the Basel problem.
Thin sets defined by a sequence of continuous functions
Thin sets in trigonometrical series and quasinormal convergence
Topological Dichotomy and Unconditional Convergence
In this paper, we give a criterion for unconditional convergence with respect to some summability methods, dealing with the topological size of the set of choices of sign providing convergence. We obtain similar results for boundedness. In particular, quasi-sure unconditional convergence implies unconditional convergence.
Trigonometrische Reihen über multiplikativen Zahlenmengen.