Application of the Laplace Transform of Tempered Distributions to the Construction of Functional Calculus

  • A. O. Lopushanskyi (Львiв. нац. ун-т, Ряшiв. ун-т, Польща)
  • S. V. Sharyn

Abstract

We use the generalized n-dimensional Laplace transform of tempered distributions whose supports are located in a positive n-dimensional cone to construct functional calculus for the commutative collections of injective generators of n-parameter analytic semigroups of operators acting in a Banach space.
Published
25.11.2015
How to Cite
LopushanskyiA. O., and SharynS. V. “Application of the Laplace Transform of Tempered Distributions to the Construction of Functional Calculus”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 11, Nov. 2015, pp. 1498-11, http://umj.imath.kiev.ua/index.php/umj/article/view/2085.
Section
Research articles