On the relation between harmonic summability and summability by Riesz means of certain type

Absolute Summability of the Trace Relation for Certain Schrödinger Operators

A recently established general trace formula for one-dimensional Schrödinger operators is systematically studied in the context of short-range potentials, potentials which approach different spatial asymptotes sufficiently fast, and appropriate impurity (defect) interactions in one-dimensional solids. We prove the absolute summability of the trace formula and establish its connections with scat...

Absolute Summability of the Trace Relation for Certain Schrόdinger Operators

A recently established general trace formula for one-dimensional Schrodinger operators is systematically studied in the context of short-range potentials, potentials which approach different spatial asymptotes sufficiently fast, and appropriate impurity (defect) interactions in one-dimensional solids. We prove the absolute summability of the trace formula and establish its connections with scat...

On l-1 Riesz Summability of the Inverse Fourier Integral

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

Lp-summability of Riesz means for the sublaplacian on complex spheres

In this paper we study the L-convergence of the Riesz means S R(f) for the sublaplacian on the sphere S in the complex n-dimensional space C. We show that S R(f) converges to f in L (S) when δ > δ(p) := (2n− 1)| 2 − 1 p |. The index δ(p) improves the one found by Alexopoulos and Lohoué [AL], 2n| 1 2 − 1 p |, and it coincides with the one found by Mauceri [Ma] and, with different methods, by Mül...