50 citations · 179 across the 40 of their papers we have counts for
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Shuffle relations for regularised integrals of symbols
Dominique Manchon, Sylvie Paycha
We prove shuffle relations which relate a product of regularised integrals of classical symbols to regularised nested (Chen) iterated integrals, which hold if all the symbols invol…
Stokes' formulae on classical symbol valued forms and applications
Yoshiaki Maeda, Dominique Manchon, Sylvie Paycha
The Wodzicki residue and the cut-off integral extend to classical symbol-valued forms. We show that they obey a Stokes' type property and that the extended Wodzicki residue can be…
A Laurent expansion for regularised integrals of holomorphic symbols
Sylvie Paycha, Simon Scott
For a holomorphic family of classical pseudodifferential operators on a closed manifold we give exact formulae for all coefficients in the Laurent expansion of its Kontsevich-Vishi…
Weighted trace cochains; a geometric setup for anomalies
Sylvie Paycha
We extend formulae which measure discrepancies for regularized traces on classical pseudodifferential operators to regularized trace cochains, regularized traces corresponding to 0…