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This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting.
A simple Hamiltonian manifold is a closed connected symplectic manifold equipped with a Hamiltonian action of a torus T with moment map  : M → t, such that MT has exactly two connected components, ...
We study symplectic structures on K¨ahler surfaces with pg = 0. We give an example of a projective surface which admits a symplectic structure which is not compatible with any K¨ahler metric.
Let C be a smooth projective curve defined over a number field k and let C′ be a twist of C. For every isomorphism : C′! C defined over a finite Galois extension L/k, we introduce a rational Artin re...
We prove existence and uniqueness for fully-developed (Poiseuille-type) flows in semiinfinite cylinders, in the setting of (time) almost-periodic functions. In the case of Stepanov almostperiodic fun...
We introduce a parabolic flow of almost K¨ahler structures, providing a natural extension of K¨ahler Ricci flow onto symplectic manifolds. We exhibit this flow as one of a family of parabolic flows of...
We prove a general dispersive estimate for a Schr¨odinger type equation on a product manifold, under the assumption that the equation restricted to each factor satisfies suitable dispersive estimates....
We will have a deep look at the set of all G-equivariant maps from the factor Lie group G to the under the action manifold M, both from “computational” and “observability” viewpoint. We will also be l...
We study the Berezin-Toeplitz quantization on K¨ahler manifolds. We explain first how to compute various associated asymptotic expansions, then we compute explicitly the first terms of the expansion o...
In this paper we study the homogeneous Kähler manifolds (h.K.m.) which can be Kähler immersed into finite or infinite dimensional complex space forms. On one hand we completely classify the ...
It is well known that the Hodge conjecture with rational coefficients holds for degree 2n − 2 classes on complex projective n-folds. In this paper we study the more precise question if on a rati...
We prove that if two Tambara-Yamagami categories T Y(A, , )and T Y(A′, ′, ′) give rise to the same state sum invariants of 3-manifolds and the order of one of the groups A,A′ is odd, then  = ′ a...
The purpose of this paper is to prove that an AH3-manifold of constant antiholomorphic sectional curvature is a real space form or a complex space form.
In this paper we show that a simplicial complex can be determined uniquely up to isomorphism by its barycentric subdivision or comparability graph. At the end, it is summarized several algebraic, comb...
In this paper we study submanifolds of almost contact manifolds with Norden metric of codimension two with totally real normal spaces. Examples of such submanifolds as a Lie subgroups are constructed.

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