SU\G(𝔸)/K·U

A Characterization of Compact SG Pseudo-differential Operators on<i>L</i><sup>2</sup>(<i>ℝ</i><sup><i>n</i></sup>)

Shahla Molahajloo

Type: Article

Publication Date: 2014-01-01

Citations: 2

DOI: https://doi.org/10.1051/mmnp/20149515

Abstract

We give a necessary and sufficient condition for pseudo-differential operators with SG symbols to be compact from L2(ℝn) into L2(ℝn).

Locations

  • Mathematical Modelling of Natural Phenomena - View - PDF

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Works Cited by This (14)

Action Title Year Authors
+ Global hypoellipticity and spectral theory 1996 Paolo Boggiatto
Ernesto Buzano
Luigi Rodino
+ A Characterization of Compact Pseudo-Differential Operators on $$\mathbb{S}^1$$ 2011 Shahla Molahajloo
+ On the essential spectrum of an arbitrary operator. I 1966 Martin Schechter
+ PDF Chat Spectral theory of SG pseudo-differential operators on L<sup>p</sup>(R<sup>n</sup>) 2008 Aparajita Dasgupta
M. W. Wong
+ PDF Chat SG-Pseudodifferential Operators and Gelfand-Shilov Spaces 2006 Marco Cappiello
Luigi Rodino
+ Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on $${{\mathbb S}^1}$$ 2010 Shahla Molahajloo
M. W. Wong
+ On the essential spectrum of partial differential boundary problems 1959 František Wolf
+ PDF Chat $K$-theory of $\mathrm {SG}$-pseudo-differential algebras 2003 Fabio Nicola
+ Spectra of partial differential operators 1986 Martin Schechter
+ Pseudodifferential operators on Rn with bounded symbols 1971 V. V. Grushin