Global ETD Search

1	On the index of differential operators on manifolds with conical singularities Schulze, Bert-Wolfgang, Sternin, Boris, Shatalov, Victor January 1997 (has links) The paper contains the proof of the index formula for manifolds with conical points. For operators subject to an additional condition of spectral symmetry, the index is expressed as the sum of multiplicities of spectral points of the conormal symbol (indicial family) and the integral from the Atiyah-Singer form over the smooth part of the manifold. The obtained formula is illustrated by the example of the Euler operator on a two-dimensional manifold with conical singular point. conical singularities Mellin transform pseudodiferential operators ellipticity Fredholm operators regularizers analytic index Mathematics