Let N be an H-type group of homogeneous dimension e. We study the space of biradial Schwartz functions on N by means of the Gelfand transform. This enables us to characterize the class of biradial homogeneous distributions on N of degree alpha, with 0 less than or equal to alpha < Q, which are C-infinity away from the identity, via the Gelfand transform
Astengo, F., DI BLASIO, B. (2001). The Schwartz space and homogeneous distributions on H-type groups. MONATSHEFTE FÜR MATHEMATIK, 132(3), 197-214 [10.1007/s006050170041].
The Schwartz space and homogeneous distributions on H-type groups
DI BLASIO, BIANCA
2001
Abstract
Let N be an H-type group of homogeneous dimension e. We study the space of biradial Schwartz functions on N by means of the Gelfand transform. This enables us to characterize the class of biradial homogeneous distributions on N of degree alpha, with 0 less than or equal to alpha < Q, which are C-infinity away from the identity, via the Gelfand transform
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