Gabor Frames, Unimodularity, and Window Decay.
Gabor meets Littlewood-Paley: Gabor expansions in
It is known that Gabor expansions do not converge unconditionally in and that cannot be characterized in terms of the magnitudes of Gabor coefficients. By using a combination of Littlewood-Paley and Gabor theory, we show that can nevertheless be characterized in terms of Gabor expansions, and that the partial sums of Gabor expansions converge in -norm.
Gagliardo-Nirenberg inequalities in weighted Orlicz spaces
We derive inequalities of Gagliardo-Nirenberg type in weighted Orlicz spaces on ℝⁿ, for maximal functions of derivatives and for the derivatives themselves. This is done by an application of pointwise interpolation inequalities obtained previously by the first author and of Muckenhoupt-Bloom-Kerman-type theorems for maximal functions.
Gauss type quadrature formulas for singular integrals
Gaussian kernels have only Gaussian maximizers.
Gaussian quadrature for matrix valued functions on the unit circle.
GCD sums from Poisson integrals and systems of dilated functions
Upper bounds for GCD sums of the form are established, where is any sequence of distinct positive integers and ; the estimate for solves in particular a problem of Dyer and Harman from 1986, and the estimates are optimal except possibly for . The method of proof is based on identifying the sum as a certain Poisson integral on a polydisc; as a byproduct, estimates for the largest eigenvalues of the associated GCD matrices are also found. The bounds for such GCD sums are used to establish...
G-continuous frames and coorbit spaces.
Gegenbauer polynomials and semiseparable matrices.
Genaue Bewertung der Approximationsfunktion aus der Klasse durch die Favardsummen
General Discrepancy Estimates III: The Erdös-Turán-Koksma Inequality for the Haar Function System.
General Franklin systems as bases in H¹[0,1]
By a general Franklin system corresponding to a dense sequence of knots 𝓣 = (tₙ, n ≥ 0) in [0,1] we mean a sequence of orthonormal piecewise linear functions with knots 𝓣, that is, the nth function of the system has knots t₀, ..., tₙ. The main result of this paper is a characterization of sequences 𝓣 for which the corresponding general Franklin system is a basis or an unconditional basis in H¹[0,1].
Généralisation des algèbres de Beurling
Cet article est consacré à l’étude des espaces qui sont des algèbres de Banach. On démontre que les multiplicateurs ponctuels de sont les fonctions qui appartiennent localement et uniformément à si et seulement si contient des fonctions à support compact.
Generalisations of some properties of invariant polynomials with matrix arguments
Some extensions of the properties of invariant polynomials proved by Davis (1980), Chikuse (1980), Chikuse and Davis (1986) and Ratnarajah et al. (2005) are given for symmetric and Hermitian matrices.
Generalization of a result for cosine series on the norm.
Generalization of a Theorem of Pati.
Generalizations of Calderón-Zygmund operators
Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas
Generalizations of theorems of Fejér and Zygmund on convergence and boundedness of conjugate series
Generalized atomic subspaces for operators in Hilbert spaces
We introduce the notion of a -atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory of -fusion frames. Also, we shall describe the concept of frame operator for a pair of -fusion Bessel sequences and some of their properties.