Renormalized Traces and Cocycles on the Algebra of S 1-Pseudo-differential Operators
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://link.springer.com/content/pdf/10.1007/s11005-005-0033-7.pdf
Reference23 articles.
1. Adler M. (1979). On a trace functionnal for formal pseudo-differential operators and the symplectic structure of Korteweg-de Vries type equations. Inventiones Math. 50: 219–248
2. Bakas I., Khesin B., Kiritsis E. (1993). The logarithm of the derivative operator and higher spin algebras of W ∞ type. Comm. Math. Phys. 151: 233–243
3. Bokobza-Haggiag J. (1969). Opérateurs pseudo-différentiels sur une variété différentiable. Ann. Inst. Fourier Grenoble 19(1): 125–177
4. Cardona A., Ducourtioux C., Magnot J-P., Paycha S. (2002). Weighted traces on pseudo-differential operators and geometry on loop groups. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5(4): 503–541
5. Cederwall M., Ferretti G., Nilsson B., Westerberg A. (1996). Schwinger terms and cohomology of pseudo-differential operators. Comm. Math. Phys. 175: 203–220
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1. On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators;Theoretical and Mathematical Physics;2021-06
2. On the geometry of $Diff(S^1)$-pseudodifferential operators based on renormalized traces.;Proceedings of the International Geometry Center;2021-04-16
3. On Diff(M)-Pseudo-Differential Operators and the Geometry of Non Linear Grassmannians;Mathematics;2015-12-25
4. The Schwinger cocycle on algebras with unbounded operators;Bulletin des Sciences Mathématiques;2008-03
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