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On some properties of convolution operators in \(\mathcal K'_1\) and \(cal S'\). (English) Zbl 0387.46039


MSC:

46F10 Operations with distributions and generalized functions
46F05 Topological linear spaces of test functions, distributions and ultradistributions
44A35 Convolution as an integral transform
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[2] von Grudzinski, O, Über fundamentallösungen von convolutoren und von differential-differenzen-operatoren mit konstanten koeffizienten, ()
[3] Hasumi, M, Note on the n-dimensional tempered ultra-distributions, Tôhoku math. J., 13, 94-104, (1961) · Zbl 0103.09201
[4] Hörmander, L, Linear partial differential operators, (1969), Springer-Verlag New York · Zbl 0177.36401
[5] Sznajder, S; Zielezny, Z, Solvability of convolution equations in \(K\)′_{1}, (), 103-106 · Zbl 0359.45005
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[7] Zielezny, Z, On the space of convolution operators in \(K\)′_{1}, Studia math., 31, 111-124, (1968) · Zbl 0182.45603
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