PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 30(2) 167-190 1994年3月 [査読有り]
We study the surjectivity of convolution operators on the spaces of hyperfunctions and Fourier hyperfunctions. On the space of hyperfunctions, we give a sufficient condition (the kernel is a nonzero ultradistribution), weaker than earlier conditio...
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE 122(3) 413-433 1994年 [査読有り]
For a hyperfunction mu(x) with compact support, we consider the convolution equation (E) mu*f = g with holomorphic functions f and g defined on a domain of the form U x root-1R(n). Under a natural condition (the condition (S)), we will prove the e...
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 70(4) 427-453 1991年 [査読有り]
The aim of the present article is to describe second microlocal singularities along linear involutive submanifolds for hyperfunctions or microfunctions in the language of boundary values of holomorphic functions. To this aim, we introduce generali...