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Transformation \(\tilde G\) of analytic functionals with unbounded carriers and its applications - MaRDI portal

Transformation \(\tilde G\) of analytic functionals with unbounded carriers and its applications (Q1903381)

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scientific article; zbMATH DE number 821718
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Transformation \(\tilde G\) of analytic functionals with unbounded carriers and its applications
scientific article; zbMATH DE number 821718

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    Transformation \(\tilde G\) of analytic functionals with unbounded carriers and its applications (English)
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    29 September 1996
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    The author considers the transformation \(\widetilde G\) studied by \textit{V. Avanissian} and \textit{R. Supper} [C. R. Acad. Sci., Paris, Sér. I, 312, No. 11, 781-784 (1991; Zbl 0743.32004)] for analytic functionals with unbounded carrier. In particular, he obtains an inversion formula of this transform and several results for holomorphic (non-entire) functions of exponential type defined in the direct product of half planes.
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    transformation
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    analytic functionals
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    inversion formula
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    exponential type
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