Laplace ultradistributions supported by a cone
Volume 88 / 2010
Banach Center Publications 88 (2010), 229-241
MSC: Primary 46F05, 46F12, 44A10.
DOI: 10.4064/bc88-0-18
Abstract
The space of Laplace ultradistributions supported by a convex proper cone is introduced. The Seeley type extension theorem for ultradifferentiable functions is proved. The Paley-Wiener-Schwartz type theorem for Laplace ultradistributions is shown. As an application, the structure theorem and the kernel theorem for this space of ultradistributions are given.
