Boundary Values in Ultradistribution Spaces Related to Extended Gevrey Regularity

Boundary Values in Ultradistribution Spaces Related to Extended Gevrey Regularity

Following the well-known theory of Beurling and Roumieu ultradistributions, we investigate new spaces of ultradistributions as dual spaces of test functions which correspond to associated functions of logarithmic-type growth at infinity. In the given framework we prove that boundary values of analyt...

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Bibliographic Details
Main Authors: Stevan Pilipović, Nenad Teofanov, Filip Tomić
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
ultradifferentiable functions
ultradistributions
extended Gevrey regularity
boundary values of analytic functions
wave front sets
Online Access:https://www.mdpi.com/2227-7390/9/1/7

Internet

https://www.mdpi.com/2227-7390/9/1/7

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