Pseudo-Differential Calculus in Anisotropic Gelfand-Shilov Setting

• We study some classes of pseudo-differential operators with symbols a admitting anisotropic exponential type growth at infinity. We deduce mapping properties for these operators on Gelfand-Shilov spaces. Moreover, we deduce algebraic and certain invariance properties of these classes.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Gevrey regularity

Symbols of infinite order

Gelfand-Shilov spaces

Short-time Fourier transform

Anisotropic

Mathematics

Matematik

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