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math.AP2019
Equivalence of Ellipticity and Fredholmness in the Weyl-Hörmander calculus
Stevan Pilipović, Bojan Prangoski
The main result is that the Fredholm property of a DO acting on Sobolev spaces in the Weyl-Hörmander calculus and the ellipticity are equivalent for geodesically temperate Hörma…
math.AP2013★ 9 cited
Pseudodifferential operators of infinite order in spaces of tempered ultradistributions
Bojan Prangoski
Specific global symbol classes and corresponding pseudodifferential operators of infinite order that act continuously on the space of tempered ultradistributions of Beurling and Ro…
math.AP2013
Anti-Wick and Weyl quantization on ultradistribution spaces
Stevan Pilipović, Bojan Prangoski
The connection between the Anti-Wick and Weyl quantization is given for certain class of global symbols, which corresponding pseudodifferential operators act continuously on the sp…