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Structural theorems for families of Fourier hyperfunctions. (English) Zbl 1004.46028

The paper is a continuation and an improvement of the previous result of the author on structural analysis of Fourier hyperfunctions. He gives a structural characterization of a bounded/convergent net of Fourier hyperfunctions by an elliptic local operator \(J(D)\) and a net of smooth functions of exponential type with some additional properties where less restrictive conditions are involved.

MSC:

46F15 Hyperfunctions, analytic functionals
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