Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Schrohe, E."'
Publikováno v:
In Bulletin des sciences mathématiques September 2019 155:141-167
We give an elementary solution of the index problem for elliptic operators associated with the shift operator along the trajectories of an isometric diffeomorphism of a closed smooth manifold. This solution is based on a reduction (which preserves th
Externí odkaz:
http://arxiv.org/abs/1112.5515
Publikováno v:
Comm. Partial Differential Equations 32, 2, 229-255 (2007)
We derive conditions that ensure the existence of a bounded $H_\infty$-calculus in weighted $L_p$-Sobolev spaces for closed extensions $\underline{A}_T$ of a differential operator $A$ on a conic manifold with boundary, subject to differential boundar
Externí odkaz:
http://arxiv.org/abs/math/0507081
Publikováno v:
Ann. Global Anal. Geom. 31, 223-285 (2007)
We study the closed extensions (realizations) of differential operators subject to homogeneous boundary conditions on weighted L_p-Sobolev spaces over a manifold with boundary and conical singularities. Under natural ellipticity conditions we determi
Externí odkaz:
http://arxiv.org/abs/math/0401395
Publikováno v:
Bull. Soc. Roy. Sci. Li\`ege 70, fasc. 4-5-6, 207-229 (2001)
We study an elliptic differential operator A on a manifold with conic points. Assuming A to be defined on the smooth functions supported away from the singularities, we first address the question of possible closed extensions of A to L^p Sobolev spac
Externí odkaz:
http://arxiv.org/abs/math/0201184
We consider the norm closure $A$ of the algebra of all operators of order and class zero in Boutet de Monvel's calculus on a manifold $X$ with boundary $Y$. We first describe the image and the kernel of the continuous extension of the boundary princi
Externí odkaz:
http://arxiv.org/abs/math/0110253
Publikováno v:
Math. Z. 244, 235-269 (2003)
We study the minimal and maximal closed extension of a differential operator A on a manifold B with conical singularities, when A acts as an unbounded operator on weighted L^p-spaces over B, 1 < p < \infty. Under suitable ellipticity assumptions we c
Externí odkaz:
http://arxiv.org/abs/math/0106008
Let (A,H,F) be a p-summable Fredholm module where the algebra A= C \Gamma is generated by a discrete group of unitaries in L(H) which is of polynomial growth r. Then we construct a spectral triple (A,H,D) with F= sign D which is q-summable for each q
Externí odkaz:
http://arxiv.org/abs/math/9805063
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