March

collaborators

2 papers

math.SP2006

Eigenfunction expansions associated with 1d periodic differential operators of order $2 n$

V. Tkachenko

We prove an explicit formula for the spectral expansions in $L^{2} (R)$ generated by selfadjoint differential operators $$ (-1)^n\frac{d^{2n}}{dx^{2n}}+\sum\limits_{j=0}^{n-1}\frac{d…

math.AT2005

The loop-coproduct spectral sequence

J. F. Le Borgne

Let $M$ be a closed oriented $d$ -dimensionnal manifold and let $L M$ be the space of free loops on $M$ . In this paper, we give a geometrical interpretation of the loop coproduct and…

Eigenfunction expansions associated with 1d periodic differential operators of order 2n

The loop-coproduct spectral sequence

Eigenfunction expansions associated with 1d periodic differential operators of order $2 n$