A remark on the paper of Dwivedi

In the present paper the method of Dwivedi and Trivedi in solving the dual integral equations, has been modified by presenting a very comprehensive and lucid solution, based on the analysis suggested by Fox.     

A remark to a paper of Kato and Ikebe

This paper deals with Schrödinger operators as they were treated by Kato - Ikebe [3]. It is shown that every element of the domain of definition of the adjoint of such an operator has locally square integrable distributional derivatives up to the order 2. For this the potential of the Schrödinger operator must fulfil a local Stummel condition; if the potential is only locally square integrable a somewhat weaker statement is possible for three dimensions (see remark 2 at the end of this paper).     

A remark on a paper of Luca

Summary It is proved that the set of those natural numbers which cannot be written as n-Ω(n) is of positive lower density. Here Ω(n) is the number of the prime power divisors of n. This is a refinement of a theorem of F. Luca.     

A remark on a paper by S.R. Bell

It is shown that unbranched proper holomorphic maps between pseudoconvex domains with smooth C boundaries, one of which satisfies subelliptic estimates for the -Neumann problem on (0,1)-forms, extend to unbranched C-coverings between the closures of the domains.     

A remark on a paper of Ibukiyama and Skoruppa

It was proved by Ibukiyama and Skoruppa that the spaces J _1,m (l) of Jacobi forms of weight 1, index m and level l vanish if gcd (l,m)=1. We will show that the result holds without the gcd hypothesis.     

A remark on a paper of J. Prada

We would like to thank the Turkish Scientific and Technical Research Council for partial support, and Prof. Dr. T. Terziolu for suggesting the problem and useful comments, and Prof. Dr. V. P. Zahariuta of drawing our attention to Fishman's result [5].     

Remarks on the preceding paper by Gavin Brown and Edwin Hewitt

Mathematische Annalen -