Applications of harmonic analysis to mathematics in general

2014 Fiscal Year Final Research Report

• Project/Area Number: 24740085
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Basic analysis
• Research Institution: Tokyo Metropolitan University
• Principal Investigator: SAWANO Yoshihiro 首都大学東京, 理工学研究科, 准教授 (40532635)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: 関数空間 / 再生核 / 積分作用素

Outline of Final Research Achievements

We summarize what we obtained in the present research. 1. I proposed many types
of atomic decompositions in many function spaces. 2. I proved a fundamenatal theorem which was folklore. The proof can not be found elsewhere in the literature. 3. I investigated Morrey spaces and related function spaces. 4. I tried to express the Dirac delta in terms of the reproducing kernel Hilbert spaces.

Free Research Field

調和解析