A+ CATEGORY SCIENTIFIC UNIT

Laplace ultradistributions supported by a cone

Volume 88 / 2010

Sławomir Michalik 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.

Authors

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

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