2 citations · 2 across the 9 of their papers we have counts for
12 papers
On measures derived from orbital integrals
Martin Miglioli
The present work develops a framework to derive piecewise polynomial measures arising from invariant measures on adjoint orbits in the context of compact and semisimple Lie groups.…
Convexity of sums of eigenvalues of a segment of unitaries
Gabriel Larotonda, Martin Miglioli
For a unitary matrix with skew-Hermitian, the angles of are the arguments of its spectrum, i.e. the spectrum of . For , we show that $…
HCIZ integral formula as unitarity of a canonical map between reproducing kernel spaces
Martin Miglioli
In this article we prove that the Harish-Chandra-Itzykson-Zuber (HCIZ) integral formula is equivalent to the unitarity of a canonical map between invariant subspaces of Segal-Bargm…
Geometry of spectral bounds of curves of unitary operators
Martin Miglioli
This article presents a new proof of a theorem concerning bounds of the spectrum of the product of unitary operators and a generalization for differentiable curves of this theorem.…
Geometry of infinite dimensional unitary groups: convexity and fixed points
Martin Miglioli
In this article we study convexity properties of distance functions in infinite dimensional Finsler unitary groups, such as the full unitary group, the unitary Schatten perturbatio…
Circumcenters in Finsler unitary groups
Martin Miglioli
We study convexity properties of distance functions in Finsler unitary groups, where the Finsler structure is defined by translation of the -Schatten norm on the Lie algebra. As…
On Schatten restricted norms
Martin Miglioli
We consider norms on a complex separable Hilbert space such that for positive invertible operators and that differ b…
Hofer's metric in compact Lie groups
Gabriel Larotonda, Martin Miglioli
In this article we study the Hofer geometry of a compact Lie group which acts by Hamiltonian diffeomorphisms on a symplectic manifold . Generalized Hofer norms on the Lie al…
Multiplicity freeness of unitary representations in sections of holomorphic Hilbert bundles
Martin Miglioli, Karl-Hermann Neeb
We prove several results asserting that the action of a Banach-Lie group on Hilbert spaces of holomorphic sections of a holomorphic Hilbert space bundle over a complex Banach manif…
Geometric aspects of similarity problems
Martin Miglioli, Peter Schlicht
This article presents a geometric approach to some similarity problems involving metric arguments in the non-positively curved space of positive invertible operators of an operator…
Decompositions and complexifications of homogeneous spaces
Martin Miglioli
In this paper an extended CPR decomposition theorem for Finsler symmetric spaces of semi-negative curvature in the context of reductive structures is proven. This decomposition the…
Unitarization of uniformly bounded subgroups in finite von Neumann algebras
Martin Miglioli
This note will present a new proof of the fact that every uniformly bounded group of invertible elements in a finite von Neumann algebra is similar to a unitary group. The proof in…