ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS

E. L. Shishkina
2016 Problemy Analiza  
In this article we consider certain types of weighted generalized functions associated with nondegenerate quadratic forms. Such functions and their derivatives are used for constructing fundamental solutions of iterated ultra-hyperbolic equations with Bessel operator and for constructing negative real powers of ultra-hyperbolic operators with Bessel operator.
doi:10.15393/j3.art.2016.3390 fatcat:wv2psmafxjcvplxwbyyh5bc7m4