sigma08-088. 217KB Jun 04 2011 12:10:20 AM
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The free energy of a closed 3-manifold is a 2-parameter formal power series which encodes the perturbative Chern–Simons invariant (also known as the LMO invariant) of a
Then the formal inversion of generating series allows to obtain another form of hierarchical relations and to investigate further (see [ 8 ]) special properties of UBV when
In this case, Bessel functions of index α = p 2 − 1 come in as the radial parts of the complex exponential functions, and estimate ( 1 ) leads to limit theorems for radial
We study in Section 3 the generalized Cauchy problem of the Dunkl linear symmetric systems, and we prove the principle of finite speed of propagation of these systems.. In the
Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators on some homogeneous spaces
In particular, the classification the- ory of primitive integral binary quadratic forms by SL(2 , Z) is recovered. Explicit fundamental domains for Γ( D, N ) allow the
While a stochastic oscillatory integral with quadratic Wiener functional as phase function has a general representation via Carleman- Fredholm determinant ([3, 6, 10]), in
In a short paper Pinney [ 21 ] was able to prove the fundamental result that the general solution of the Milne–Pinney equation can be described in terms of an arbitrary pair
