A note on a conjecture of D. Oberlin
A note on a generalized hypersingular integral
A note on a one-parameter family of Catalan-like numbers.
A note on weights: Pasting weights and changing variables.
A note on a result of Bateman and Chowla
A note on a theorem of Boas
A note on a Theorem of Ermakov
A note on certain partial sum operators
We show that for the t-deformed semicircle measure, where 1/2 < t ≤ 1, the expansions of functions with respect to the associated orthonormal polynomials converge in norm when 3/2 < p < 3 and do not converge when 1 ≤ p < 3/2 or 3 < p. From this we conclude that natural expansions in the non-commutative spaces of free group factors and of free commutation relations do not converge for 1 ≤ p < 3/2 or 3 < p.
A note on comprehensive backward biorthogonalization.
A note on convergence to infinity of Fourier series
A note on d'Alembert's functional equation
A note on decomposition of the distribution on BMO space.
A note on degree of approximation by Nörlund and Riesz operators
A Note on Div-Curl Lemma
2000 Mathematics Subject Classification: 42B30, 46E35, 35B65.We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and which include as a particular case, the result of [3].
A note on Fourier coefficients
A note on fractional integration
A note on fusion Banach frames
For a fusion Banach frame for a Banach space , if is a fusion Banach frame for , then is called a fusion bi-Banach frame for . It is proved that if has an atomic decomposition, then also has a fusion bi-Banach frame. Also, a sufficient condition for the existence of a fusion bi-Banach frame is given. Finally, a characterization of fusion bi-Banach frames is given.
A note on Gehring's lemma.
A note on integer translates of a square integrable function on ℝ
We consider the subspace of L²(ℝ) spanned by the integer shifts of one function ψ, and formulate a condition on the family , which is equivalent to the weight function being > 0 a.e.
A note on interpolation and higher integrability.