Polynomial Approximation on Unbounded Subsets, Markov Moment Problem and Other Applications [PDF]
This paper starts by recalling the author’s results on polynomial approximation over a Cartesian product A of closed unbounded intervals and its applications to solving Markov moment problems.
Octav Olteanu
exaly +4 more sources
Polynomial Approximation on Unbounded Subsets and the Markov Moment Problem
We start this review paper by recalling some known and relatively recent results in polynomial approximation on unbounded subsets. These results allow approximation of nonnegative continuous functions with compact support contained in the first quadrant ...
Octav Olteanu
doaj +4 more sources
Semilinear elliptic problems on unbounded subsets of the Heisenberg group
In this paper we discuss the applications of an abstract version of concentration compactness to minimax problems. In particular, we prove the existence of solutions to semilinear elliptic problems on unbounded subsets of the Heisenberg group.
K. Tintarev
doaj +3 more sources
On Markov Moment Problem, Polynomial Approximation on Unbounded Subsets, and Mazur–Orlicz Theorem [PDF]
We review earlier and recent results on the Markov moment problem and related polynomial approximation on unbounded subsets. Such results allow proving the existence and uniqueness of the solutions for some Markov moment problems. This is the first aim of the paper.
Cristian Octav Olteanu
exaly +4 more sources
On the existence of large subsets of [λ] κ which contain no unbounded non-stationary subsets
Here we deal with some problems posed by Matet. The first section deals with the existence of stationary subsets of [lambda]^{
Saharon Shelah
exaly +3 more sources
Forcing closed unbounded subsets of ω2
The author shows that there is no satisfactory first-order characterization of subsets of \(\omega_2\) that have closed unbounded subsets in \(\omega_1\) and \(\omega_2\) and GCH-preserving outermodels. The author shows that this ``anti-characterization'' result extends to subsets of successors of regular uncountable cardinals.
exaly +3 more sources
Adding Closed Unbounded Subsets of ω₂ with Finite Forcing
An outline is given of the proof that the consistency of a κ⁺-Mahlo cardinal implies that of the statement that I[ω₂] does not include any stationary subsets of Cof(ω₁). An additional discussion of the techniques of this proof includes their use to obtain a model with no ω₂-Aronszajn tree and to add an ω₂-Souslin tree with finite conditions.
William J Mitchell
exaly +3 more sources
SOME PLANCHEREL IDENTITIES FOR UNBOUNDED SUBSETS OF $$\mathbb {R}$$ IN DUALITY
In relation to Fuglede's conjecture, we establish several Plancherel-type identities and demonstrate the surjectivity of the Fourier transform between certain unbounded tiling sets of $\mathbb{R}$ that are in duality. In the terminology commonly used in the context of Fuglede's conjecture, our result states that an open set tiles $\mathbb{R}$ by the ...
Dorin Ervin Dutkay
exaly +3 more sources
On κ-like structures which embed stationary and closed unbounded subsets
James Schmerl
exaly +2 more sources
On the VC-dimension of half-spaces with respect to convex sets [PDF]
A family S of convex sets in the plane defines a hypergraph H = (S, E) as follows. Every subfamily S' of S defines a hyperedge of H if and only if there exists a halfspace h that fully contains S' , and no other set of S is fully contained in h.
Nicolas Grelier +3 more
doaj +1 more source

