Pseudolocality and Microlocality of General Classes of Pseudodifferential Operators
β Scribed by Wolfgang Staubach
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 228 KB
- Volume
- 223
- Category
- Article
- ISSN
- 0025-584X
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π SIMILAR VOLUMES
This paper studies approximate multiresolution analysis for spaces generated by smooth functions providing high-order semi-analytic cubature formulas for multidimensional integral operators of mathematical physics. Since these functions satisfy refinement equations with any prescribed accuracy, meth
## 51. Some Preliminaries and Statement of the Results The main purpose of this article is to apply some results from the analytic microlocal analysis [6], [ll], [13] for study of analytic singularities for a class of differential operators of mixed type. In the announcement [4] the author consider
T . Clearly, for such operators, T\*kTk= (T\*T)k for all k z 2 . This fact provides a motivation to generalize the class of quasi-normal operators as follows: An operator T is defined to be of class Obviously ( M ; 2 ) contains hyponormal operators. However, we shall show that the class ( M ; k ) ,
## Abstract Let __H__(U) be the space of all analytic functions in the unit disk U, and let co__E__ denote the convex hull of the set __E__ β β. If __K__ β __H__(U) then the operator I : __K__ β __H__(U) is said to be an __averaging operator__ if For a function __h__ β __A__ β __H__(U) we will det