By Joachim Toft, M. W. Wong, Hongmei Zhu

The ISAAC workforce in Pseudo-Differential Operators (IGPDO) met on the 5th ISAAC Congress held at UniversitÃ di Catania in Italy in July, 2005. This quantity contains papers according to lectures given on the distinct consultation on pseudodifferential operators and invited papers that endure at the issues of IGPDO.

Nineteen peer-reviewed papers signify sleek traits in pseudo-differential operators. themes comprise partial differential equations, worldwide research, geometry, quantization, Wigner transforms, Weyl transforms on Lie teams, mathematical physics and timefrequency research. The articles may be of curiosity to graduate scholars and researchers in research, mathematical physics and mathematical sciences. This choice of essays and learn articles below the banner of IGPDO is a precious supplement to the volumes ""Advances in Pseudo-Differential Operators"" and ""Pseudo-Differential Operators and comparable Topics"" released within the similar sequence in 2004 and 2006, respectively.

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Acad. Sci. A. 76 (1979), 2103–2106. [5] J. Gil, Full asymptotic expansion of the heat trace for non-self-adjoint elliptic cone operators, Math. Nachr. 250 (2003), 25–57. [6] J. Gil, T. Krainer, and G. Mendoza, Geometry and spectra of closed extensions of elliptic cone operators, Canad. J. , to appear. B. Gil, T. A. Mendoza [7] J. Gil, T. Krainer, and G. Mendoza, Resolvents of elliptic cone operators, J. Funct. Anal. 241 (2006), no. 1, 1–55. [8] J. Gil and G. Mendoza, Adjoints of elliptic cone operators, Amer.

Schulze, An algebra of meromorphic corner symbols, Bull. des Sciences Math. 127 (2003), 55–99. -W. Schulze, Pseudo-diﬀerential operators on manifolds with edges, in Partial Diﬀerential Equations, Teubner, Teubner-Texte zur Mathematik, Leipzig, 1989, 259– 287. -W. Schulze, Pseudo-diﬀerential Operators on Manifolds with Singularities, NorthHolland, Amsterdam, 1991. -W. Schulze, Corner Mellin operators and conormal asymptotics, in Sem. Equ. aux D´eriv. Part. 1990–1991, Exp. XII, Ecole Polytechnique, Mars 1991.

Math. , 205, (1999), 163–182. [22] J. Seiler, The cone algebra and a kernel characterization of Green operators, in Advances in Partial Diﬀerential Equations (Approaches to Singular Analysis), Editors: J. Gil, D. Grieser and M. Lesch, Birkh¨ auser, Basel, 2001, 1–29. [23] N. Tarkhanov, Harmonic integrals on domains with edges, Preprint, Institut f¨ ur Mathematik, Universit¨ at Potsdam, 2004. -I. -W. de Operator Theory: Advances and Applications, Vol. 172, 33–50 c 2006 Birkh¨ auser Verlag Basel/Switzerland On Rays of Minimal Growth for Elliptic Cone Operators Juan B.