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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 |
Appears in Collections: | PMF Publikacije/Publications |
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