Radial Functions and Regularity of Solutions to the Schrödinger Equation.
Radial maximal function characterizations for Hardy spaces on RD-spaces
An RD-space is a space of homogeneous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property holds. The authors prove that for a space of homogeneous type having “dimension” , there exists a such that for certain classes of distributions, the quasi-norms of their radial maximal functions and grand maximal functions are equivalent when . This result yields a radial maximal function characterization for Hardy spaces on .
Radial Subspaces of Besov and Lizorkin-Triebel Classes: Extended Strauss Lemma and Compactness of Embeddings.
Radiation transfer in an absorbing layer bounded by a specular reflector
Rajchman measures on compact groups.
Ramanujan sums and almost periodic functions
Random measures and harmonizable sequences
Random perturbations of exponential Riesz bases in
Let a sequence be given such that the exponential system forms a Riesz basis in and be a sequence of independent real-valued random variables. We study the properties of the system as well as related problems on estimation of entire functions with random zeroes and also problems on reconstruction of bandlimited signals with bandwidth via their samples at the random points .
Randomly Weighted Series of Contractions in Hilbert Spaces.
Rates of Convergence for the Approximation of Dual Shift-Invariant Systems in ... (...).
Rationale trigonometrische Tschebyscheff-Approximation in zwei Variablen.
Rationalle Trigonometrische Tschebyscheff-Approximation In Zwei Variablen
Real analysis, quantitative topology, and geometric complexity.
In this paper, we give an overview of some topics involving behavior of homeomorphisms and ways in which real analysis can arise in geometric settings.
Rearrangement and continuity properties of functions on spaces of homogeneous type
Rearrangement estimates of the area integrals
We derive weighted rearrangement estimates for a large class of area integrals. The main approach used earlier to study these questions is based on distribution function inequalities.
Rearrangements of periodic multiplicative orthogonal series
Recent developments in the theory of function spaces with dominating mixed smoothness
The aim of these lectures is to present a survey of some results on spaces of functions with dominating mixed smoothness. These results concern joint work with Winfried Sickel and Miroslav Krbec as well as the work which has been done by Jan Vybíral within his thesis. The first goal is to discuss the Fourier-analytical approach, equivalent characterizations with the help of derivatives and differences, local means, atomic and wavelet decompositions. Secondly, on this basis we study approximation...
Recent developments in the theory of Haar series
Recent developments in the theory of Walsh series.
Recent progress on the Kakeya conjecture.
We survey recent developments on the Kakeya problem.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].