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

• Дата: 2015
• Автори: Lopushanskyi, A. O., Sharyn, S. V., Лопушанський, А. О., Шарин, С. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2015
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2085
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 spa...