Applications of the Thick Distributional Calculus

Abstract

We give several applications of the thick distributional calculus. We consider homogeneous thick distributions, point source fields, and higher order derivatives of order 0.1991 Mathematics Subject Classification. 46F10. Key words and phrases. Thick points, delta functions, distributions, generalized functions. * ,a (R n ) that vanish in R n \ K.1 Following the notation introduced by the late Professor Farassat [8], we shall denote distributional derivatives with an overbar.