The Campbell-Hausdorff theorem for elliptic operators and a related trace formula

DOI10.1215/S0012-7094-95-07918-6zbMath0854.35137OpenAlexW1526611650MaRDI QIDQ1913356

K. Okikiolu

Publication date: 20 January 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-95-07918-6

zbMATH Keywords

trace formulaCampbell-Hausdorff formula

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) General theory of partial differential operators (47F05) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (14)

ON THE SINGULARITIES OF THE ZETA AND ETA FUNCTIONS OF AN ELLIPTIC OPERATOR ⋮ The Residue Determinant ⋮ The multiplicative anomaly for determinants of elliptic operators ⋮ Multiplicative anomaly and zeta factorization ⋮ From tracial anomalies to anomalies in quantum field theory ⋮ Extremal metrics for spectral functions of Dirac operators in even and odd dimensions ⋮ The multiplicative anomaly for determinants revisited; locality ⋮ Variations on a theme of Jost and Pais ⋮ THE LOGARITHMIC RESIDUE DENSITY OF A GENERALIZED LAPLACIAN ⋮ Perturbation of sectorial projections of elliptic pseudo-differential operators ⋮ REGULARIZED CALCULUS: AN APPLICATION OF ZETA REGULARIZATION TO INFINITE DIMENSIONAL GEOMETRY AND ANALYSIS ⋮ Symmetrized trace and symmetrized determinant of odd class pseudo-differential operators ⋮ Renormalised Chern-Weil forms associated with families of Dirac operators ⋮ Conformal invariants and partial differential equations

Cites Work

• The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations
• The multiplicative anomaly for determinants of elliptic operators
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