149 citations · 480 across the 59 of their papers we have counts for
5 papers · 1 filter
Lemniscates do not survive Laplacian growth
D. Khavinson, M. Mineev-Weinstein, M. Putinar +1
The large class of moving boundary processes in the plane modeled by the so-called Laplacian growth, which describes, e.g., solidification, electrodeposition, viscous fingering, ba…
A Striktpositivstellensatz for measurable functions (corrected version)
Mihai Putinar
A weighted sums of squares decomposition of positive Borel measurable functions on a bounded Borel subset of the Euclidean space is obtained via duality from the spectral theorem f…
Positivity and optimization for semi-algebraic functions
Jean-Bernard Lasserre, Mihai Putinar
We describe algebraic certificates of positivity for functions belonging to a finitely generated algebra of Borel measurable functions, with particular emphasis to algebras generat…
Unitary invariants for Hilbert modules of finite rank
Shibananda Biswas, Gadadhar Misra, Mihai Putinar
A refined notion of curvature for a linear system of Hermitian vector spaces, in the sense of Grothendieck, leads to the unitary classification of a large class of analytic Hilbert…
Planar elliptic growth
Dmitry Khavinson, Mark Mineev-Weinstein, Mihai Putinar
The planar elliptic extension of the Laplacian growth is, after a proper parametrization, given in a form of a solution to the equation for area-preserving diffeomorphisms. The inf…