Laplace hyperfunctions in several variables

• Honda Naofumi

  Department of Mathematics Hokkaido University

• Umeta Kohei

  Department of General Education College of Science and Technology Nihon University

Abstract

We establish an edge of the wedge theorem for the sheaf of holomorphic functions with exponential growth at infinity and construct the sheaf of Laplace hyperfunctions in several variables. We also study the fundamental properties of the sheaf of Laplace hyperfunctions.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 70 (1), 111-139, 2018

  The Mathematical Society of Japan

Keywords

• Laplace transform
• Laplace hyperfunctions
• sheaves
• cohomology groups

Details

• CRID: 1390282680091569536
• NII Article ID: 130006334097
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/07017267
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL BIB ID: 028780871
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I028780871
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed