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

作者：Lopushans'kyi O V^*; Sharyn S V

来源：Ukrainian Mathematical Journal, 2016, 67(11): 1687-1703.

DOI：10.1007/s11253-016-1183-8

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.

• 出版日期2016-4