1986 Fiscal Year Final Research Report Summary
Reproducing kernels and integral transforms
| Project/Area Number |
60540086
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
解析学
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| Research Institution | Gunma University |
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Principal Investigator |
SAITOH Saburou Gunma University, Faculty of Engineering, 工学部, 助教授 (10110397)
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| Project Period (FY) |
1985 – 1986
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| Keywords | Reproducing kernel / Integral transform / Convolution / Laplace transform / Fourier transform / Paley-Wiener's theorem / ピックネバンリンナの問題 |
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| Research Abstract |
We developed a general theory of integral transforms and showed miscellaneous applications to : Cauchy integral formula, Poisson integral formula, the solutions of differential equations, interpolation problems for analytic and harmonic functions of class <L_2> , and Fourier-Laplace transforms on tube domains.
Moreover, as applications of the theory of reproducing kernels, the idea of nonharmonic integral transforms, interpolation problems of Pick-Nevanlinna type and miscellaneous norm inequalities are derived.
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Research Products
(12 results)
