O-Regularly Varying Convergence Moduli of Fourier and Fourier-Stieltjes Series.
Orlicz spaces connected with strong summability. III. On strong (..., ...)-summability.
Outer compositions of hyperbolic/loxodromic linear fractional transformations.
p-Analytic and p-quasi-analytic vectors
For every symmetric operator acting in a Hilbert space, we introduce the families of p-analytic and p-quasi-analytic vectors (p>0), indexed by positive numbers. We prove various properties of these families. We make use of these families to show that certain results guaranteeing essential selfadjointness of an operator with sufficiently large sets of quasi-analytic and Stieltjes vectors are optimal.
Particular Rules for the Vector e-Algorithm.
Permanenz- und Taubersätze bei pV-Summierung.
Permutations preserving Cesàro mean, densities of natural numbers and uniform distribution of sequences
We are interested in permutations preserving certain distribution properties of sequences. In particular we consider -uniformly distributed sequences on a compact metric space , 0-1 sequences with densities, and Cesàro summable bounded sequences. It is shown that the maximal subgroups, respectively subsemigroups, of leaving any of the above spaces invariant coincide. A subgroup of these permutation groups, which can be determined explicitly, is the Lévy group . We show that is big in the...
Permutations preserving sums of rearranged real series
The aim of this paper is to discuss one of the most interesting and unsolved problems of the real series theory: rearrangements that preserve sums of series. Certain hypothesis about combinatorial description of the corresponding permutations is presented and basic algebraic properties of the family , introduced by it, are investigated.
Počítání Leonharda Eulera s nekonečnými součiny
Pointwise limit theorem for a class of unbounded operators in -spaces
We distinguish a class of unbounded operators in , r ≥ 1, related to the self-adjoint operators in ². For these operators we prove a kind of individual ergodic theorem, replacing the classical Cesàro averages by Borel summability. The result is equivalent to a version of Gaposhkin’s criterion for the a.e. convergence of operators. In the proof, the theory of martingales and interpolation in -spaces are applied.
Polynomial two-point expansions.
Polynomials of multipartitional type and inverse relations
Chou, Hsu and Shiue gave some applications of Faà di Bruno's formula to characterize inverse relations. Our aim is to develop some inverse relations connected to the multipartitional type polynomials involving to binomial type sequences.
Power series in locally convex algebras
Power-monotone sequences and Fourier series with positive coefficients.
Power-monotone sequences and Fourier series with positive coefficients.
Poznámka o řadách nekonečných
Poznámky k nekonečným řadám
Příspěvek k nauce o nekonečných řetězcích
Příspěvek k odvozování nekonečných řad a stanovení jich součtů pomocí omezených integralů
Probabilistic norms and statistical convergence of random variables.