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math.FA2021
Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipovic and modulation spaces
Joachim Toft, Divyang Bhimani, Ramesh Manna
We show that harmonic oscillator propagators and fractional Fourier transforms are essentially the same. We deduce continuity properties and fix time estimates for such operators o…
math.FA2021
Multi-linear products with odd factors in pseudo-differential calculus with symbols in modulation spaces
Joachim Toft
We give sufficient conditions on the Lebesgue exponents for compositions of odd numbers of pseudo-differential operators with symbols in modulation spaces. As a byproduct, we obtai…
math.FA2021
Wick and anti-Wick characterizations of linear operators on spaces of power series expansions
Joachim Toft
We study the link between Wick, anti-Wick and analytic kernel operators on the Bargmann transform side. We find classes of kernels, e.g. $\wideparen {\mathcal B} _s$, whose corresp…