This text is the first to deal with the general theory of traces and determinants of operators on manifolds in a broad context, encompassing a number of the principle applications and backed up by specific computations which set out in detail to newcomers the nuts-and-bolts of the basic theory.
Conference on Motives, Quantum Field Theory, and Pseudodifferential Operators, June 2-13, 2008, Boston University, Boston, Massachusetts Alan L. Carey. both the integrand and the domain are defined in terms of polynomials with rational ...
Soc., 359 1925-1957 (2007) S. Scott, The residue determinant, Commun. Part. Diff. Eqns, 30 (2005) 483–507 S. Scott, Logarithmic structures and TQFT, preprint 2010 S. Scott, Traces and determinants of pseudodifferential operators, ...
11 (2005), 387–443 [35] S. Scott, The residue determinant, Comm. Partial Differential Equations 30 no. 4-6 (2005), 483–507 [36] S. Scott, Traces and Determinants of Pseudodifferential Operators, Oxford Mathematical Monographs, ...
Grubb, G., Schrohe, E.: Traces and quasi-traces on the Boutet de Monvel algebra. ... Ruzhansky, M., Turunen, V.: Pseudo-differential operators and symmetries. ... Scott, S.: Traces and Determinants of Pseudodifferential Operators.
Analysis in Domains and on Manifolds with Singularities, Breitenbrunn 1990, Teubner-Texte zur Mathematik 131 (1990), 208–289. [20] B.-W. Schulze, Pseudo-Differential Operators on Manifolds with Singularities, NorthHolland, 1991.
Lesch, M. and Neira Jimenez, C., Classification of traces and hypertraces on spaces of classical pseudodifferential operators, arXiv:1011.3238. Lescure, J.-M. and Paycha, S., Uniqueness of multiplicative determinants on elliptic ...
Ruzhansky, M., Turunen, V.: Pseudo-Differential Operators and Symmetries: Background Analysis and Advanced Topics. Birkhäuser, Basel (2010) 33. Ruzhansky, M., Wirth, J.: Lp Fourier multipliers on compact Lie groups. Math.
Determinants of Pseudo-differential Operators Catherine Ducourtioux Universite Blaise Pascal, Clermont-Ferrand, France E-mail: Catherine. Ducourtiourðmath.univ-opclermont.fr Summary. We generalize the notions of traces and determinants ...
... 1, 0) with V a finitely generated projective A -module (see Section 3.6.3.6): y
E-mail:c. ducourðucfma. univ-bpclermont.fr We study new regularized determinants on elliptic pseudo-differential operators. They are of the form "eapTroLog”, where Trø is a weighted trace. We express the obstruction preventing the ...