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Operator Theory: Advances and ApplicationsVolume 260, 2017, Pages 193-213

Ultradifferentiable functions of class Mτ,σ p and microlocal regularity(Book Chapter)

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  • aDepartment of Mathematics and Informatics, Faculty of Sciences University of Novi Sad, Novi Sad, Serbia
  • bFaculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

Abstract

We study spaces of ultradifferentiable functions which contain Gevrey classes. Although the corresponding defining sequences do not satisfy Komatsu’s condition (M.2)’, we prove appropriate continuity properties under the action of (ultra)differentiable operators. Furthermore, we study convenient localization procedure which leads to the concept of wave-front set with respect to our regularity conditions. As an application, we identify singular supports of suitable spaces of ultradifferentiable functions as standard projections of intersections/unions of wave-front sets. © 2017, Springer International Publishing AG.

Funding details

Funding sponsor Funding number Acronym
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja174024MPNTR

  • 1

    This research is supported by Ministry of Education, Science and Technological Development of Serbia through the Project no. 174024.

  • ISSN: 02550156
  • Source Type: Book Series
  • Original language: English
  • DOI: 10.1007/978-3-319-51911-1_12
  • Document Type: Book Chapter
  • Publisher: Springer International Publishing

  Teofanov, N.; Department of Mathematics and Informatics, Faculty of Sciences University of Novi Sad, Novi Sad, Serbia;
© Copyright 2017 Elsevier B.V., All rights reserved.

Cited by 4 documents

Jézéquel, M.
Global Trace Formula for Ultra-Differentiable Anosov Flows
(2021) Communications in Mathematical Physics
Pilipović, S. , Teofanov, N. , Tomić, F.
A Paley–Wiener theorem in extended Gevrey regularity
(2020) Journal of Pseudo-Differential Operators and Applications
Teofanov, N. , Tomić, F.
Extended Gevrey Regularity via the Short-Time Fourier Transform
(2020) Applied and Numerical Harmonic Analysis
View details of all 4 citations
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