TRANSFORMATION DE FOURIER-SATO ET OPÉRATEURS PSEUDO-DIFFÉRENTIELS NON-LOCAUX

• ISHIMURA Ryuichi

  Department of Mathematics and Informatics Faculty of Science Chiba University

Abstract

In this paper, first, we re-establish the notion of non-local pseudo-differential operators introduced by the author, more intrinsically by means of the Fourier-Sato transformation of the sheaf of holomorphic forms. By using this, we propose the construction of the composition of non-local pseudo-differential operators functorially.

Journal

• Kyushu Journal of Mathematics

  Kyushu Journal of Mathematics 61 (1), 95-107, 2007

  Faculty of Mathematics, Kyushu University

Keywords

• pseudo-differential operators
• partial differential equations of infinite order
• non-local operators

Details

• CRID: 1390282680206407424
• NII Article ID: 130000063185
• NII Book ID: AA10994346
• DOI: 10.2206/kyushujm.61.95
• ISSN: 18832032
• ISSN: 13406116
• MRID: 2317284
• Web Site: https://www.jstage.jst.go.jp/article/kyushujm/61/1/61_1_95/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed