Title

Asymptotics of pseudodifferential operators acting on functions with corner singularities

Keywords

41A60; 44A12; 46F12; 47G30; 65R10; 92C55; Computed tomography; Corners; Distributions; Expansion in smoothness; Pseudodifferential operators

Abstract

A new definition of the expansion in smoothness of a distribution at a point is introduced. Some properties of the new expansion are studied and a uniqueness result for the coefficients of the expansion is proved. The main application of the definition is for obtaining the asymptotics in smooth ness of pseudodifferential operators acting on a function near a corner point of singsupp f. An example of usage of the obtained results in computed tomog raphy is presented. © 1999, Taylor & Francis Group, LLC.

Publication Date

1-1-1999

Publication Title

International Journal of Phytoremediation

Volume

72

Issue

1-2

Number of Pages

229-252

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/00036819908840739

Socpus ID

85065357575 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85065357575

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