Mellin Operators in the Edge Calculus
- A manifold M with smooth edge Y is locally near Y modelled on X-Delta x Omega for a cone X-Delta := ( (R) over bar (+) x X)/({0} x X) where Xis a smooth manifold and Omega subset of R-q an open set corresponding to a chart on Y. Compared with pseudo-differential algebras, based on other quantizations of edge-degenerate symbols, we extend the approach with Mellin representations on the r half-axis up to r = infinity, the conical exit of X-boolean AND = R+ x X (sic) (r, x) at infinity. The alternative description of the edge calculus is useful for pseudo-differential structures on manifolds with higher singularities.
| Author details: | Xiaojing LyuORCiDGND, Bert-Wolfgang SchulzeGND |
|---|---|
| DOI: | https://doi.org/10.1007/s11785-015-0511-6 |
| ISSN: | 1661-8254 |
| ISSN: | 1661-8262 |
| Title of parent work (English): | Complex analysis and operator theory |
| Publisher: | Springer |
| Place of publishing: | Basel |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2016 |
| Publication year: | 2016 |
| Release date: | 2020/03/22 |
| Tag: | Edge degenerate operators; Mellin and Green operators edge symbols |
| Volume: | 10 |
| Number of pages: | 36 |
| First page: | 965 |
| Last Page: | 1000 |
| Funding institution: | [MYRG115(Y1-L4)-FST13-QT] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
