Laplace ultradistributions supported by a cone

• Autorzy: Sławomir Michalik
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 44A10: Laplace transform
• 46F12: Integral transforms in distribution spaces
• 46F05: Topological linear spaces of test functions, distributions and ultradistributions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 88
• Numer: 1
• Strony: 229-241

Daty

wydano

2010

Twórcy

autor

Sławomir Michalik

• Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszyński University, Dewajtis 5, 01-815 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc88-0-18