A microlocal version of Cartan-Grauert's theorem

I. V. Maresin; A. G. Sergeev

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

Similarity:

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]

Similarity:

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

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

Journal of Convex Analysis

Similarity:

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

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

Journal of Convex Analysis

Similarity:

Plurisubharmonic saddles

Siegfried Momm (1996)

Annales Polonici Mathematici

Similarity:

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

Similarity:

On localizing global Pareto solutions in a given convex set

Agnieszka Drwalewska, Lesław Gajek (1999)

Applicationes Mathematicae

Similarity:

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

Similarity:

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

Janusz Matkowski, Marek Pycia (1995)

Annales Polonici Mathematici

Similarity:

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

Similarity:

On Lempert functions in $ℂ^{2}$ .

Jarnicki, Witold (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Similarity:

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]

Similarity: