Study of integral transformations in hyperfunctions and differential operators of infinite order

2014 Fiscal Year Final Research Report

• Project/Area Number: 22540173
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Chiba University
• Principal Investigator: OKADA Yasunori 千葉大学, 理学(系)研究科(研究院), 教授 (60224028)
• Co-Investigator(Renkei-kenkyūsha): ISHIMURA Ryuichi 千葉大学, 大学院理学研究科, 教授 (10127970)
• Research Collaborator: LIESS Otto ボローニャ大学, 教授
• Project Period (FY): 2010-04-01 – 2015-03-31
• Keywords: 超函数 / 無限階微分作用素

Outline of Final Research Achievements

On kernel theorems in hyperfunctions, we got some partial results for the purpose of the study on locally convex cases. We established the division by differential operators of infinite order with parameters and its variant related to BMT classes, and got the support properties and the analytic singular support properties for integral transformations. We also worked on bounded hyperfunctions at infinity, and gave a notion of fading memory for operators with infinite delay. Moreover we got results on boundary value representations, dualities, and periodic equations.

Free Research Field

代数解析