Abstract
Hyperfunctions are defined by means of functional analysis and within the theory of local cohomology of sheaves. In the same way we study the hyperfunctions of coherent analytic sheaves and the vectorvalued situation.
Applications as generalized Bochner-Hartogs- and edge-of-the-wedge-theorems and solutions of boundary value-problems for sections of coherent analytic sheaves will follow.
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Blickensdörfer, A. Zur Definition von Hyperfunktionen. Manuscripta Math 22, 105–130 (1977). https://doi.org/10.1007/BF01167855
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DOI: https://doi.org/10.1007/BF01167855