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On computational aspects of discrete Sobolev inner products on the unit circle
(2013-09-17)
In this paper, we show how to compute in O(n2) steps the Fourier coefficients associated with the Gelfand-Levitan approach for discrete Sobolev orthogonal polynomials on the unit circle when the support of the discrete ...
On computational aspects of discrete Sobolev inner products on the unit circle
(2013-09-17)
In this paper, we show how to compute in O(n2) steps the Fourier coefficients associated with the Gelfand-Levitan approach for discrete Sobolev orthogonal polynomials on the unit circle when the support of the discrete ...
Paths of inner-related functions
(Academic Press Inc Elsevier Science, 2012-05)
We characterize the connected components of the subset CN∗ of H∞ formed by the products bh, where b is Carleson?Newman Blaschke product and h ∈ H∞ is an invertible function. We use this result to show that, except for ...
Cellular localization of TWIK-1, a two-pore-domain potassium channel in the rodent inner ear
(Elsevier, 2003)
K+ channels in the inner ear regulate the secretion and homeostasis of K+, i.e. the flux of K+ ions required to ensure good mechanosensory transduction. We studied the expression and cellular localization of TWIK-1 and ...
Partial isometries in semi-Hilbertian spaces
(Elsevier Science Inc, 2008-04)
In this work, the concepts of isometry, unitary and partial isometry on a Hilbert space are generalized when an additional semi-inner product is considered. These new concepts are described by means of oblique projections.
Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case
(Elsevier B.V., 2012-11-01)
We investigate the location, monotonicity, and asymptotics of the zeros of the polynomials orthogonal with respect to the Sobolev type inner product< p, q > (lambda,c.j) = integral(b)(a) p(x)q(x)mu(x) + lambda p((j))(c)q ...
Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case
(Elsevier B.V., 2012-11-01)
We investigate the location, monotonicity, and asymptotics of the zeros of the polynomials orthogonal with respect to the Sobolev type inner product< p, q > (lambda,c.j) = integral(b)(a) p(x)q(x)mu(x) + lambda p((j))(c)q ...