We characterise interpolating and sampling sequences for the spaces of entire functions f such that fe ∈ L(C), p ≥ 1 (and some related weighted classes), where φ is a subharmonic weight whose Laplacian is a doubling measure. The results are expressed in terms of some densities adapted to the metric induced by ∆φ. They generalise previous results by Seip for the case φ(z) = |z|2, and by Berndtss...

The optimal mass transportation problem provides a framework for interpolating between different probability density functions (pdfs), warping one function toward another. Interpolating between two arbitrary pdfs can be challenging, but interpolating between more than two pdfs just remains untractable. We propose an approximation of such interpolations based on 1D projections, that is efficient...

Interpolating fields, used to excite hadrons from the QCD vacuum in nonperturbative field-theoretic investigations of hadron properties, are explored with an emphasis on unconventional nucleon interpolators. The QCD continuum model for excited state contributions to QCD correlation functions is a central element in extracting the physics contained in these alternate correlation functions. The a...

We study the convergence of Laurent polynomials that interpolate functions on the boundary of a circular annulus. The points of interpolation are chosen to be uniformly distributed on the two circles of the boundary. A maximal convergence theorem for functions analytic on the closure of the annulus is proved. We point out that, in general, there is no equiconvergence theorem between the interpo...

of turbulence models for shear ows by a double expansion technique," Phys. Fluids \Conservation laws and two ux spectra of hydro-dynamic convective turbulence," Physica D 57 (1992). 15 Bolgiano and Kolmogorov scaling are believed to occur together in general ows; this suggests that the general dissipation rate model could combine the results for both scalings as in Eq. (40). 2 However, a comple...