Zobrazeno 1 - 10
of 404
pro vyhledávání: '"Putinar, Mihai"'
One of the unexplored benefits of studying layer potentials on smooth, closed hypersurfaces of Euclidean space is the factorization of the Neumann-Poincar\'e operator into a product of two self-adjoint transforms. Resurrecting some pertinent indicati
Externí odkaz:
http://arxiv.org/abs/2403.19033
Two generic properties of the Neumann--Poincar\'e operator are investigated. We prove that non-zero eigenvalues of the Neumann--Poincar\'e operator on smooth boundaries in three dimensions and higher are generically simple in the sense of Baire categ
Externí odkaz:
http://arxiv.org/abs/2312.11916
Compared to the entrywise transforms which preserve positive semidefiniteness, those leaving invariant the inertia of symmetric matrices reveal a surprising rigidity. We first obtain the classification of negativity preservers by combining recent adv
Externí odkaz:
http://arxiv.org/abs/2310.18041
We continue the study of real polynomials acting entrywise on matrices of fixed dimension to preserve positive semidefiniteness, together with the related analysis of order properties of Schur polynomials. Previous work has shown that, given a real p
Externí odkaz:
http://arxiv.org/abs/2310.18020
Autor:
Kimsey, David P., Putinar, Mihai
The discrete data encoded in the power moments of a positive measure, fast decaying at infinity on euclidean space, is incomplete for recovery, leading to the concept of moment indeterminateness. On the other hand, classical integral transforms (Four
Externí odkaz:
http://arxiv.org/abs/2307.16018
An outline of J\"org Eschmeier's main mathematical contributions is organized both on a historical perspective, as well as on a few distinct topics. The reader can grasp from our essay the dynamics of spectral theory of commutative tuples of linear o
Externí odkaz:
http://arxiv.org/abs/2207.14752
A body $\Theta$ containing two phases, which may form a periodic composite with microstructure much smaller that the body, or which may have structure on a length scale comparable to the body, is subjected to slowly time varying boundary conditions t
Externí odkaz:
http://arxiv.org/abs/2207.09932
Autor:
Milton, Graeme W., Putinar, Mihai
A series of physically motivated operations appearing in the study of composite materials are interpreted in terms of elementary continued fraction transforms of matrix valued, rational Stieltjes functions.
Comment: 16 pages, 2 figures
Comment: 16 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2206.02926
Autor:
Biswas, Shibananda, Putinar, Mihai
In the presence of a positive, compactly supported measure on an affine algebraic curve, we relate the density of polynomials in Lebesgue $L^2$-space to the existence of analytic bounded point evaluations. Analogues to the complex plane results of Th
Externí odkaz:
http://arxiv.org/abs/2112.08504
Publikováno v:
Mathematics Research Reports 3 (2022), 35-56
Fractional powers and polynomial maps preserving structured totally positive matrices, one-sided Polya frequency functions, or totally positive kernels are treated from a unifying perspective. Besides the stark rigidity of the polynomial transforms,
Externí odkaz:
http://arxiv.org/abs/2110.08206