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Functions of Pseudo-Differential Operators of Non-positive Order

โœ Scribed by Josefina Alvarez; Jorge Hounie

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
502 KB
Volume
141
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

The aim of this paper is to define functions of several commuting and non-commuting self-adjoint pseudo-differential operators of non-positive order, by means of the H. Weyl formula

Given 1<p< , the pseudo-differential operators under consideration belong to the Ho rmander class L m , $ , m &n(1&) |( 1ร‚p)&(1ร‚2)|, 0<\ 1, 0 $<1, $ \ and act on functions defined on the euclidean space R n .

๐Ÿ“œ SIMILAR VOLUMES

Variable order subordination in the sens
Variable order subordination in the sense of Bochner and pseudo-differential operators
โœ Kristian Evans; Niels Jacob ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 167 KB

## Abstract For a large class of pseudoโ€differential operators with a negative definite symbol __q__(__x__, ฮพ) in the sense of Hoh and for a large family of __x__โ€dependent Bernstein functions __f__(__x__, ยท) we prove that the pseudoโ€differential operator with symbol โˆ’__f__(__x__, __q__(__x__, ฮพ))