| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
The purpose of this project is to study the analysis of functions on manifolds and mappings between manifolds, and the functional analysis related to microlocal analysis. We have some results concerned with functional analysis on the Bargmann-type integral transforms on the Euclidean spaces. The most important results of this project is to obtain the necessary and sufficient conditions on holomorphic gaussian functions on the complex Euclidean spaces so that they have creation and annihilation operators satisfying the canonical commutation relations and become generators of the complete orthonormal system on the Segal-Bargmann space, which is a reproducing-kernel Hilbert space of entire functions.
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