Please use this identifier to cite or link to this item: https://open.uns.ac.rs/handle/123456789/1693
Title: Spectral asymptotics for infinite order pseudo-differential operators
Authors: Pilipović, Stevan 
Prangoski, Bojan
Vindas, Jasson
Issue Date: 1-Apr-2018
Journal: Bulletin of Mathematical Sciences
Abstract: © 2018, The Author(s). We study spectral properties of a class of global infinite order pseudo-differential operators and obtain the asymptotic behaviour of the spectral counting functions of such operators. Unlike their finite order counterparts, their spectral asymptotics are not of power-log-type but of log-type. The ultradistributional setting of such operators of infinite order makes the theory more complex so that the standard finite order global Weyl calculus cannot be used in this context.
URI: https://open.uns.ac.rs/handle/123456789/1693
ISSN: 16643607
DOI: 10.1007/s13373-017-0114-9
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