sigma09-090. 536KB Jun 04 2011 12:10:32 AM
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(In other words, the flatness relation ( 16.1 ) is the local consistency relation for the horizontal condition.) As we shall see below there is no obstruction in patching together
In this spirit, the Hilbert transform, a basic tool in signal processing and in Fourier and harmonic analysis as well, may be defined by means of partial derivatives, so that, since
The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which appears to be new even in the one-variable, basic case..
For p > 0, Weisfeiler and Kac [ 54 ] gave a classification, but although the idea of their proof is OK, the paper has several gaps and vague notions (the Brown algebra br (3)
the general idea is, first, to determine the holonomy invariant distributions peculiar to that type and identify any covariantly constant or recurrent vector fields, second to
In the quantum brachistochrone problem, finding the shortest possible time requires only the solution of the two-dimensional problem, namely, finding the optimal time evolution for
The purpose of this paper is to establish the most general formal setting for reformulating, whenever possible, basic properties of groups in terms of vector spaces,
Namely, symplectic quotients of Donaldson’s symplectic space can be identified with Weinstein’s symplectic spaces in the particular case of leaves consisting of positive
