Pseudo-differential operators in a Gelfand–Shilov setting

• We introduce some general classes of pseudodifferential operators with symbols admitting exponential type growth at infinity and we prove mapping properties for these operators on Gelfand–Shilov spaces. Moreover, we deduce composition and certain invariance properties of these classes. 

Ämnesord

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Nyckelord

Pseudo-differential operators

Gelfand–Shilov spaces

short-time Fourier transform

modulation spaces

Matematik

Mathematics

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