| 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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