Bicomplex hyperfunctions

• Published in: Annali di matematica pura ed applicata Vol. 190; no. 2; pp. 247 - 261
• Main Authors: Colombo, F., Sabadini, I., Struppa, D. C., Vajiac, A., Vajiac, M.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.05.2011; Springer Nature B.V
• Subjects: Analytic functions; Euclidean geometry; Euclidean space; Homology; Mathematical analysis; Mathematics; Mathematics and Statistics; Sheaves; Resolutions; 35C15; Syzygy; Bicomplex numbers; PDE systems; 35N05; 13P10; Dolbeault complex; 16E05; Hyperfunctions; Duality

In this paper, we consider bicomplex holomorphic functions of several variables in .We use the sheaf of these functions to define and study hyperfunctions as their relative 3 n -cohomology classes. We show that such hyperfunctions are supported by the Euclidean space within the bicomplex space , and...