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Orthogonal Measures on State Spaces and Context Structure of Quantum Theory approach and standard convex theoretic approach to quantum theory is discovered. Combining new results

On the first eigenvalue of the degenerate p-Laplace operator in non-convex domains-Laplace operator, p>2 , in a large class of non-convex domains. This study is based on applications

Chiral higher spin gravity and convex geometry Shoikhet–Tsygan–Kontsevich formality, are given by integrals over the configuration space of convex

BOUNDARY VALUE PROBLEMS FOR FUNCTIONAL-DIFFERENTIAL INCLUSIONS WITH THE MULTIVALUED IMPULSES not necessarily convex-valued with respect to switching in the space of summable functions and with multi

Sufficient conditions for existence and uniqueness of a Chebyshev center of a nonempty bounded set in a geodesic space nonempty bounded set in a geodesic space belongs to the closure of the convex hull of this set. © 2010

Boundedness of the Riesz Potential in Local Morrey-Type SpacesThe problem of boundedness of the Riesz potential in local Morrey-type spaces is reduced

Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces for all admissible values of the parameters. Moreover, in case of local Morrey-type spaces, for some

О ГИПЕРБОЛИЧЕСКОМ ПОРЯДКЕ ВЫПУКЛОСТИ КОНФОРМНЫХ ОТОБРАЖЕНИЙThe hyperbolic order of convexity of locally univalent planar functions is defined. The regularity

From Similarity to Distance: Axiom Set, Monotonic Transformations and Metric DeterminacyHow to normalise similarity metric to a metric space for a clusterization? A new system of axioms

Multipliers in Bessel potential spaces with smoothness indices of different sign ) is the space of uniformly localized Bessel potentials. For the important case where s = t < n/max(p, q'), we

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