The Weinstein transform associated with generalized distributions

Abstract

Björck [4], and Hörmander [8], investigated the linear partial differential operators and generalized distributions associated with the Fourier transform by utilizing the convolution properties on the spaces of types Dω(Rn), Eω(Rn), and Sω(Rn). Motivated by above results the present paper examined various properties of the Wein-stein transform over generalized distributions Dω (R+n+1) and other spaces. The convolution properties of generalized distributions associated with the Weinstein transform on space Dω (R+n+1) ) are discussed. Mathematics Subject Classification (2010). 46F05. 46F10. 46F12. 42A85.