5 citations · 5 across the 6 of their papers we have counts for
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Strong ultra-regularity properties for positive elements in the twisted convolutions
Yuanyuan Chen
We show that positive elements with respect to the twisted convolutions, belonging to some ultra-test function space of certain order at origin, belong to the ultra-test function s…
The Weyl product on quasi-Banach modulation spaces
Yuanyuan Chen, Joachim Toft, Patrik Wahlberg
We study the bilinear Weyl product acting on quasi-Banach modulation spaces. We find sufficient conditions for continuity of the Weyl product and we derive necessary conditions. Th…
Factorizations and singular value estimates of operators with Gelfand-Shilov and Pilipović kernels
Yuanyuan Chen, Mikael Signahl, Joachim Toft
We prove that any linear operator with kernel in a Pilipović or Gelfand-Shilov space can be factorized by two operators in the same class. We also give links on numerical approxima…
Boundedness for Gevrey and Gelfand-Shilov kernels to positive operators
Yuanyuan Chen, Joachim Toft
We study properties of positive operators on Gelfand-Shilov spaces, and distributions which are positive with respect to non-commutative convolutions. We prove that boundedness of…