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Operators of Fuchs type, conical singularities, and asymptotic methods

- M. Lesch
- Mathematics
- 19 July 1996

This text is a revised version of the authors Habilitationsschrift which was submitted to the University of Augsburg, 1993.
Fuchs type differential operators are used to model the analysis on… Expand

158 15- PDF

Unbounded Fredholm Operators and Spectral Flow

- B. Booss-Bavnbek, M. Lesch, J. Phillips
- Mathematics
- Canadian Journal of Mathematics
- 2 August 2001

Abstract We study the gap (= “projection norm” = “graph distance”) topology of the space of all (not necessarily bounded) self-adjoint Fredholm operators in a separable Hilbert space by the Cayley… Expand

89 15- PDF

Evolution and structure of magnetic fields in simulated galaxy clusters

We use cosmological magneto-hydrodynamic simulations to study the evolution of magnetic elds in galaxy clusters in two dierent cosmological models, a standard-CDM and a -CDM model. We show that the… Expand

174 13- PDF

On the Noncommutative Residue for Pseudodifferential Operators with log-Polyhomogeneous Symbols

- M. Lesch
- Mathematics
- 1 August 1997

AbstractWe study various aspects of the noncommutative residue for an algebra of pseudodifferential operators whose symbols have an expansion
$$a \sim \sum\limits_{j = 0}^\infty {a_{m - j,} } a_{m -… Expand

121 8- PDF

The uniqueness of the spectral flow on spaces of unbounded self--adjoint Fredholm operators

- M. Lesch
- Mathematics
- 29 January 2004

We discuss several natural metrics on spaces of unbounded self--adjoint operators and their relations, among them the Riesz and the graph metric. We show that the topologies of the spaces of Fredholm… Expand

56 8- PDF

On the deficiency indices and self-adjointness of symmetric Hamiltonian systems

- M. Lesch, M. Malamud
- Mathematics
- 10 April 2003

Abstract The main purpose of this paper is to investigate the formal deficiency indices N ± of a symmetric first-order system Jf′+Bf=λ H f on an interval I, where I= R or I= R ± . Here J,B, H are n×n… Expand

110 7

A local global principle for regular operators in Hilbert C⁎-modules

Abstract Hilbert C ⁎ -modules are the analogues of Hilbert spaces where a C ⁎ -algebra plays the role of the scalar field. With the advent of Kasparovʼs celebrated KK -theory they became a standard… Expand

49 7- PDF

Spectral flow and the unbounded Kasparov product

Abstract We present a fairly general construction of unbounded representatives for the interior Kasparov product. As a main tool we develop a theory of C 1 -connections on operator ⁎-modules; we do… Expand

48 6- PDF

DETERMINANTS OF REGULAR SINGULAR STURM-LIOUVILLE OPERATORS

- M. Lesch
- Mathematics
- 19 February 1999

We consider a regular singular Sturm-Liouville operator
on the line segment (0,1]. We impose certain boundary conditions such that we obtain a semi-bounded self-adjoint operator.… Expand

42 5- PDF

The eta-invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary

Several proofs have been published of the Mod Z gluing formula for the eta-invariant of a Dirac operator. However, so far the integer contribution to the gluing formula for the eta-invariant is left… Expand

77 4- PDF

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