The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

A Representation Theorem for a Class of Stieltjes Transformable Generalized Functions


Affiliations
1 Department of Mathematics, Banaras Hindu University, Varanasi-221005, India
     

   Subscribe/Renew Journal


The classical Stieltjes transform has recently been extended to a certain class of generalized functions Sα' (I) by Pandey [1], and the real and complex inversion formulae [3, pp. 126, 144] have been shown to be still valid when the limiting operation in those formulae is understood as weak convergence in the space D'{I) of Schwartz distributions.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 233

PDF Views: 0




  • A Representation Theorem for a Class of Stieltjes Transformable Generalized Functions

Abstract Views: 233  |  PDF Views: 0

Authors

R. S. Pathak
Department of Mathematics, Banaras Hindu University, Varanasi-221005, India

Abstract


The classical Stieltjes transform has recently been extended to a certain class of generalized functions Sα' (I) by Pandey [1], and the real and complex inversion formulae [3, pp. 126, 144] have been shown to be still valid when the limiting operation in those formulae is understood as weak convergence in the space D'{I) of Schwartz distributions.