sigma07-093. 259KB Jun 04 2011 12:10:07 AM
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Shoikhet’s holomorphic noncommutative residue of a holomorphic differential operator D on E for the case when E is an arbitrary vector bundle over an arbitrary compact complex
In higher dimensions, the usual highest weight representations apply for the symmetry algebra of the Laplace–Beltrami operator. In this case there is no longer a single chain
This paper presents an explicit form of the action of the intertwining operator on polynomials by use of harmonic and Jacobi polynomials.. It is the symmetry group of the regular 2
Thus, we extended the Lie derivative approach to the study of Hamiltonian operators com- patible with a given Hamiltonian operator P from finite-dimensional Poisson structures [26,
Moreover, the complex projection of quasianti-Hermitian quaternionic dynamics is considered in Section 4, where the subclass of quasianti-Hermitian quaternionic Hamiltonian
When the higher dimensional conformal tensor vanishes because the space is conformallly flat, the lower-dimensional Kaluza–Klein func- tions satisfy equations that coincide with
For the total vacuum energy, globally renormalized, we found that the boundary terms in both the exact answer and the half-line expression are equal to zero; that is,
The derivation deduces Branson’s formula from knowledge of the correspon- ding conformally invariant operator on Euclidean space (the k -th power of the Euclidean Laplacian)
