A microlocal version of Cartan-Grauert's theorem

I. V. Maresin; A. G. Sergeev

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Displaying similar documents to “A microlocal version of Cartan-Grauert's theorem”

Invariant pseudodistances and pseudometrics - completeness and product property

Marek Jarnicki, Peter Pflug (1991)

Annales Polonici Mathematici

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A survey of properties of invariant pseudodistances and pseudometrics is given with special stress put on completeness and product property.

A polyharmonic analogue of a Lelong theorem and polyhedric harmonicity cells.

Boutaleb, Mohamed (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Compactly epi-Lipschitzian convex sets and functions in normed spaces.

Borwein, Jonathan, Lucet, Yves, Mordukhovich, Boris (2000)

Journal of Convex Analysis

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Total convexity for powers of the norm in uniformly convex Banach spaces.

Butnariu, Dan, Iusem, Alfredo N., Resmerita, Elena (2000)

Journal of Convex Analysis

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Plurisubharmonic saddles

Siegfried Momm (1996)

Annales Polonici Mathematici

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A certain linear growth of the pluricomplex Green function of a bounded convex domain of $ℂ^{N}$ at a given boundary point is related to the existence of a certain plurisubharmonic function called a “plurisubharmonic saddle”. In view of classical results on the existence of angular derivatives of conformal mappings, for the case of a single complex variable, this allows us to deduce a criterion for the existence of subharmonic saddles.

Bounded linear regularity, strong CHIP, and CHIP are distinct properties.

Bauschke, Heinz H., Borwein, Jonathan M., Tseng, Paul (2000)

Journal of Convex Analysis

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On localizing global Pareto solutions in a given convex set

Agnieszka Drwalewska, Lesław Gajek (1999)

Applicationes Mathematicae

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Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing...

An analogue of the Krein-Milman theorem for star-shaped sets.

Martini, Horst, Wenzel, Walter (2003)

Beiträge zur Algebra und Geometrie

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Convex-like inequality, homogeneity, subadditivity, and a characterization of $L^{p}$ -norm

Janusz Matkowski, Marek Pycia (1995)

Annales Polonici Mathematici

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Let a and b be fixed real numbers such that 0 < mina,b < 1 < a + b. We prove that every function f:(0,∞) → ℝ satisfying f(as + bt) ≤ af(s) + bf(t), s,t > 0, and such that $l i m s u p_{t \to 0 +} f (t) \leq 0$ must be of the form f(t) = f(1)t, t > 0. This improves an earlier result in [5] where, in particular, f is assumed to be nonnegative. Some generalizations for functions defined on cones in linear spaces are given. We apply these results to give a new characterization of the $L^{p}$ -norm.

Illumination and visibility problems in terms of closure operators.

Martini, Horst, Wenzel, Walter (2004)

Beiträge zur Algebra und Geometrie

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On Lempert functions in $ℂ^{2}$ .

Jarnicki, Witold (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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The Fekete-Szegő theorem for close-to-convex functions of the class $K_{s h} (α, β)$ .

Darus, Maslina (2002)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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