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Let be the semidirect product where is a semisimple compact connected Lie group acting linearly on a finite-dimensional real vector space . Let be a coadjoint orbit of associated by the Kirillov-Kostant method of orbits with a unitary irreducible representation of . We consider the case when the corresponding little group is the centralizer of a torus of . By dequantizing a suitable realization of on a Hilbert space of functions on where , we construct a symplectomorphism between...
This paper should be considered as a companion report to F.W. Gehring’s survey lectures “Characterizations of quasidisks” given at this Summer School [7]. Notation, definitions and background results are given in that paper. In particular, D is a simply connected proper subdomain of unless otherwise stated and D* denotes the exterior of D in . Many of the characterizations of quasidisks have been motivated by looking at properties of euclidean disks. It is therefore natural to go back and ask...
* The research has been partially supported by Bulgarian Funding Organizations, sponsoring
the Algebra Section of the Mathematics Institute, Bulgarian Academy of Sciences, a Contract
between the Humboldt Univestit¨at and the University of Sofia, and Grant MM 412 / 94 from
the Bulgarian Board of Education and TechnologyThe present survey introduces in some classical properties
of the universal coverings of the projective algebraic manifolds. All the
results are non-original. A forthcoming note is...
Let be the Riesz distribution on a simple Euclidean Jordan algebra, parametrized by . I give an elementary proof of the necessary and sufficient condition for to be a locally finite complex measure (= complex Radon measure).
The question in the title, first raised by Goldman and Donaldson, was partially answered by Reznikov. We give a complete answer, as follows: if can be realized as both the fundamental group of a closed 3-manifold and of a compact Kähler manifold, then must be finite—and thus belongs to the well-known list of finite subgroups of , acting freely on .
Given adjacent subanalytic strata in verifying Kuo’s ratio test (resp. Verdier’s -regularity) we find an open dense subset of the codimension submanifolds (wings) containing such that is generically Whitney -regular is exactly one more than the dimension...
The aim of this paper is to prove that every subset of definable from addition, multiplication and exponentiation admits a stratification satisfying Whitney’s conditions a) and b).
For complete Reinhardt pairs “compact set - domain” K ⊂ D in ℂⁿ, we prove Zahariuta’s conjecture about the exact asymptotics
, s → ∞,
for the Kolmogorov widths of the compact set in C(K) consisting of all analytic functions in D with moduli not exceeding 1 in D, τ(K,D) being the condenser pluricapacity of K with respect to D.
The classical Wold decomposition theorem applied to the multiplication by an inner function leads to a special decomposition of the Hardy space. In this paper we obtain norm estimates for componentwise projections associated with this decomposition. An application to operators similar to a contraction is given.
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