# zbMATH — the first resource for mathematics

On the theory of Radon transformations of hyperfunctions. (English) Zbl 0576.32008
In this paper several operations on hyperfunctions are explicitly defined using Radon transforms. [On a modern statement of Radon transform see S. Helgason, The Radon transform. (1980; Zbl 0453.43011).] The statement contains details and combines Fourier analysis with the theory of microfunctions. As a result, the author proved in § 2 the coherency of the notion of singular spectrum independently of J. M. Bony. He also proved the independence of support and singular support independently of Kashiwara’s proof.
Reviewer: M.Marinov

##### MSC:
 32A45 Hyperfunctions 46F15 Hyperfunctions, analytic functionals 32A07 Special domains in $${\mathbb C}^n$$ (Reinhardt, Hartogs, circular, tube) (MSC2010)