ESTIMATES OF SINGULAR NUMBERS OF INTEGRAL OPERATORS

By M. Birman, Michael Solomyak. 1977

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Properties and numerical evaluation of the Rosenblatt distribution (2013, background): “The eigenvalues λn of KD are not known exactly, but their asymptotic behavior is well understood as n→∞, see for instance [7, 12, 14] or [20].”
Continuity and Schatten Properties for Pseudo-differential Operators on Modulation Spaces (2006, background): “In the general case, the results can also be found in [ 2 , 23, 37].”
On the Equivalence between Quadrature Rules and Random Features (2015, background): “See also examples by Birman and Solomyak (1977).”
Approximation rates for the hierarchical tensor format in periodic Sobolev spaces (2014, background): “As for singular value estimates of integral operators with kernels from Sobolev and Besov classes standard references seem to be the surveys of Birman and Solomjak [6] and Pietsch's monograph [37], with the latter also containing an excellent historical survey.”
Schatten classes on compact manifolds: Kernel conditions☆ (2014, background): “The problem of finding such criteria on different kinds of domains is classical and has been much studied, e.g. the paper [BS77] by Birman and Solomyak is a good introduction to the subject.”
Greedy approximation (2008, background): “We mention some of the papers: Fredholm (1903), Weyl (1911), Hille and Tamarkin (1931), Smithies (1937), Birman and Solomyak (1977), Cochran (1977) and Temlyakov (1989b, 1990, 1992a, 1992b, 1993b).”
Semi‐Nonparametric IV Estimation of Shape‐Invariant Engel Curves (2003, background): “The findings (4) (5) should be related to the smoothing spline literature, although there is no theoretical justification yet.”