The existence and the continuation of holomorphic solutions for convolution equations in tube domains
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Publication:4325592
DOI10.24033/bsmf.2240zbMath0826.35144OpenAlexW2465426994MaRDI QIDQ4325592
Yasunori Okada, Ryuichi Ishimura
Publication date: 13 March 1995
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=BSMF_1994__122_3_413_0
Hyperfunctions, analytic functionals (46F15) Entire functions of several complex variables (32A15) PDEs of infinite order (35R50)
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Generalized spherical mean value operators on Euclidean space ⋮ A continuation of solutions to convolution equations with the loss of smoothness ⋮ Non-local pseudo-differential operators ⋮ Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains ⋮ Criterion of analytic continuability of functions in principal invariant subspaces on convex domains in $\mathbb{C}^{n}$ ⋮ Continuation of functions from principal invariant subspaces ⋮ Surjectivity criteria for convolution operators in \(A^{-\infty}\)
Cites Work
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