Sato hyperfunctions via relative Dolbeault cohomology
نویسندگان
چکیده
The relative Dolbeault cohomology which naturally comes up in the theory of Čech–Dolbeault turns out to be canonically isomorphic with local (relative) Grothendieck and Sato so that it provides a handy way representing latter. In this paper we use give simple explicit expressions hyperfunctions, some fundamental operations on them related duality theorems. This approach also yields new insight into hyperfunctions leads number further results applications. As one such, an embedding morphism Schwartz distributions space hyperfunctions.
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ژورنال
عنوان ژورنال: Journal of The Mathematical Society of Japan
سال: 2023
ISSN: ['1881-1167', '0025-5645']
DOI: https://doi.org/10.2969/jmsj/87668766