Hardy spaces and twisted sectors for geometric models
نویسندگان
چکیده
منابع مشابه
Hardy Spaces and Twisted Sectors for Geometric Models
We study the one-to-one analytic maps σ that send the unit disc into a region G with the property that λG ⊂ G for some complex number λ, 0 < |λ| < 1. These functions arise in iteration theory, giving a model for the self-maps of the unit disk into itself, and in the study of composition operators as their eigenfunctions. We show that for such functions there are geometrical conditions on the im...
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For a finitely generated discrete group Γ, the Γ-sectors of an orb-ifold Q are a disjoint union of orbifolds corresponding to homomorphisms from Γ into a groupoid presenting Q. Here, we show that the inertia orbifold and k-multi-sectors are special cases of the Γ-sectors, and that the Γ-sectors are orbifold covers of Leida's fixed-point sectors. In the case of a global quotient, we show that th...
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The construction of twisted sectors, or g-twisted modules, for a vertex operator algebra V and automorphism g, is a fundamental problem in algebraic conformal field theory and the theory of orbifold models. For the moonshine module V , whose automorphism is the Monster M, Tuite has shown that this problem is intimately related to the generalized moonshine conjecture which relates hauptmoduln to...
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In this paper we present some new results about the conformally invariant Hardy spaces Hp(S) in the strip S := { z ∈ C | | Imz | < 1 } for 0 < p <∞ . We give an intrinsic characterization of these spaces and we prove that the set of polynomials are dense in all of them.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1996
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-96-01564-4