A note on a paper by Andreotti and Hill concerning the Hans Lewy problem
A note on the Cauchy-Bochner formula for a class of Beurling ultradistributions
Algebra of multipliers on the space of real analytic functions of one variable
We consider the topological algebra of (Taylor) multipliers on spaces of real analytic functions of one variable, i.e., maps for which monomials are eigenvectors. We describe multiplicative functionals and algebra homomorphisms on that algebra as well as idempotents in it. We show that it is never a Q-algebra and never locally m-convex. In particular, we show that Taylor multiplier sequences cease to be so after most permutations.
An elementary theory of hyperfunctions and microfunctions
Analyse micro-locale du noyau de Bergman
Analytic functionals on the sphere and their Fourier-Borel transformations
Asymptotic expansion of solutions of Laplace-Beltrami type singular operators
The theory of Mellin analytic functionals with unbounded carrier is developed. The generalized Mellin transform for such functionals is defined and applied to solve the Laplace-Beltrami type singular equations on a hyperbolic space. Then the asymptotic expansion of solutions is found.
Asymptotic Fourier and Laplace transformations for hyperfunctions
We develop an elementary theory of Fourier and Laplace transformations for exponentially decreasing hyperfunctions. Since any hyperfunction can be extended to an exponentially decreasing hyperfunction, this provides simple notions of asymptotic Fourier and Laplace transformations for hyperfunctions, improving the existing models. This is used to prove criteria for the uniqueness and solvability of the abstract Cauchy problem in Fréchet spaces.
Asymptotic hyperfunctions, tempered hyperfunctions, and asymptotic expansions.
Automorphic forms, hyperfunction cohomology, and period functions.