Convolution transforms with complex kernels
Isidore Isaac Hirschman, David Vernon Widder · Pacific Journal of Mathematics · 1951
Introduction* In the present paper we shall consider the inversion of a class of convolution transforms with kernel G(t) of the form (1.1) (1.2) (-co < t < oo) , *(•)= Π "" )e s/bk a k = bk + ic^ (A = 1,2, * * •) being a sequence of complex numbers such that (1.3) Σ k=ι Σ (c k /b k ) 2