TY - JOUR A1 - Pirhayati, Mohammad T1 - Boundary symbols in the cone algebra JF - Journal of pseudo-differential operators and applications N2 - Boundary value problems on a smooth manifold X with boundary have the structure of edge problems. Operators A are described in terms of a principal symbolic hierarchy, namely, according to the stratification of X, with the interior and the boundary We focus here on operators with and without the transmission property and establish a new relationship between boundary symbols and operators in the cone calculus transversal to the boundary. KW - Cone KW - Edge and corner pseudo-differential operators KW - Ellipticity of corner-degenerate operators KW - Iterated corner asymptotics of solutions Y1 - 2015 U6 - https://doi.org/10.1007/s11868-015-0123-y SN - 1662-9981 SN - 1662-999X VL - 6 IS - 3 SP - 307 EP - 339 PB - Springer CY - Basel ER - TY - THES A1 - Pirhayati, Mohammad T1 - Edge operators and boundary value problems Y1 - 2016 ER - TY - GEN A1 - Molahajloo, Shahla A1 - Pirhayati, Mohammad T1 - Traces of pseudo-differential operators on compact and Hausdorff groups T2 - Postprints der Universität Potsdam : Mathematisch Naturwissenschaftliche Reihe N2 - We give a characterization of and a trace formula for trace class pseudo-differential operators on compact Hausdorff groups. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 893 KW - pseudo-differential operators KW - compact groups Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-436371 SN - 1866-8372 IS - 893 SP - 361 EP - 369 ER -