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In the 70’s, Nekhorochev proved that for an analytic nearly integrable Hamiltonian system, the action variables of the unperturbed Hamiltonian remain nearly constant over an exponentially long time with respect to the size of the perturbation, provided that the unperturbed Hamiltonian satisfies some generic transversality condition known as steepness. Using theorems of real subanalytic geometry, we derive a geometric criterion for steepness: a numerical function $h$ which is real analytic around a...

Hankel operators and the Dixmier trace on strictly pseudoconvex domains.

Englis, Miroslav (2010)

Documenta Mathematica

Hankel operators and weak factorization for Hardy-Orlicz spaces

Aline Bonami, Sandrine Grellier (2010)

Colloquium Mathematicae

We study the holomorphic Hardy-Orlicz spaces $^{Φ} (Ω)$ , where Ω is the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in ℂⁿ. The function Φ is in particular such that $¹ (Ω) \subset^{Φ} (Ω) \subset^{p} (Ω)$ for some p > 0. We develop maximal characterizations, atomic and molecular decompositions. We then prove weak factorization theorems involving the space BMOA(Ω). As a consequence, we characterize those Hankel operators which are bounded from $^{Φ} (Ω)$ into ¹(Ω).

Hankel Operators on Bergman Spaces with Change of Weight.

Svantje Janson (1992)

Mathematica Scandinavica

Harder-Narasimhan filtrations and optimal destabilizing vectors in complex geometry

Laurent Bruasse, Andrei Teleman (2005)

Annales de l’institut Fourier

We give here a generalization of the theory of optimal destabilizing 1-parameter subgroups to non algebraic complex geometry : we consider holomorphic actions of a complex reductive Lie group on a finite dimensional (possibly non compact) Kähler manifold. In a second part we show how these results may extend in the gauge theoretical framework and we discuss the relation between the Harder-Narasimhan filtration and the optimal detstabilizing vectors of a non semistable object....

Hardy spaces and analytic continuation of Bergman spaces

Wolfgang Bertram, Joachim Hilgert (1998)

Bulletin de la Société Mathématique de France

Hardy spaces of analytic multifunctions.

Jonas Avelin (1998)

Mathematica Scandinavica

Hardy spaces on two-sheeted covering semigroups.

Koufany, K., Ørsted, Bent (1997)

Journal of Lie Theory

Harmonic and analytic functions admitting a distribution boundary value

Emil J. Straube (1984)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Harmonic Bergman kernel for some balls.

Fujita, Keiko (2003)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Harmonic diffeomorphisms and Teichmüller theory.

Jochen Lohkamp (1991)

Manuscripta mathematica

Harmonic functions on classical rank one balls

Philippe Jaming (2001)

Bollettino dell'Unione Matematica Italiana

In questo articolo studieremo le relazioni fra le funzioni armoniche nella palla iperbolica (sia essa reale, complessa o quaternionica), le funzione armoniche euclidee in questa palla, e le funzione pluriarmoniche sotto certe condizioni di crescita. In particolare, estenderemo al caso quaternionico risultati anteriori dell'autore (nel caso reale), e di A. Bonami, J. Bruna e S. Grellier (nel caso complesso).

Harmonic majorants for plurisubharmonic functions on bounded symmetric domains with applications to the spaces H... and N*.

Manfred Stoll (1976)

Journal für die reine und angewandte Mathematik

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