25 citations · 98 across the 44 of their papers we have counts for
8 papers · 2 filters
Sampling, splines and frames on compact manifolds
Isaac Z. Pesenson
Analysis on the unit sphere found many applications in seismology, weather prediction, astrophysics, signal analysis, crystallography, computer vision, computerize…
Bernstein-Nikolskii inequalities and Riesz interpolation formula on compact homogeneous manifolds
Isaac Z. Pesenson
Bernstein-Nikolskii inequalities and Riesz interpolation formula are established for eigenfunctions of Laplace operators and polynomials on compact homogeneous manifolds.
-widths and Approximation theory on Compact Riemannian Manifolds
Isaac Pesenson, Daryl Geller
We determine upper asymptotic estimates of Kolmogorov and linear -widths of unit balls in Sobolev and Besov norms in -spaces on compact Riemannian manifolds. The proofs r…
An approach to spectral problems on Riemannian manifolds
Isaac Z. Pesenson
It is shown that eigenvalues of Laplace-Beltrami operators on compact Riemannian manifolds can be determined as limits of eigenvalues of certain finite-dimensional operators in spa…
The trace problem for vector fields satisfying Hörmander's condition
S. Berhanu, I. Pesenson
Trace theorems are proved for non-isotropic Sobolev and -Lipschitz spaces defined by vector fields satisfying Hörmander's bracket condition of order 2. It is shown that the lo…
Bernstein-Nikolskii and Plancherel-Polya inequalities in -norms on non-compact symmetric spaces
Isaac Z. Pesenson
By using Bernstein-type inequality we define analogs of spaces of entire functions of exponential type in , where is a symmetric space of non-comp…