Convergence of new modified trigonometric sums in the metric space .
Convergence of series of dilated functions and spectral norms of GCD matrices
We establish a connection between the L² norm of sums of dilated functions whose jth Fourier coefficients are for some α ∈ (1/2,1), and the spectral norms of certain greatest common divisor (GCD) matrices. Utilizing recent bounds for these spectral norms, we obtain sharp conditions for the convergence in L² and for the almost everywhere convergence of series of dilated functions.
Convergence of Taylor series in Hardy and Besov spaces.
Convergence Theorems for Polynomials with Many Zeros.
Convergent subsequences of partial sums of Fourier series of ϕ(L)
Convolution algebras with weighted rearrangement-invariant norm
Let X be a rearrangement-invariant space of Lebesgue-measurable functions on , such as the classical Lebesgue, Lorentz or Orlicz spaces. Given a nonnegative, measurable (weight) function on , define . We investigate conditions on such a weight w that guarantee X(w) is an algebra under the convolution product F∗G defined at by ; more precisely, when for all F,G ∈ X(w).
Convolution de mesures portées par une surface convexe
Convolutions related to q-deformed commutativity
Two important examples of q-deformed commutativity relations are: aa* - qa*a = 1, studied in particular by M. Bożejko and R. Speicher, and ab = qba, studied by T. H. Koornwinder and S. Majid. The second case includes the q-normality of operators, defined by S. Ôta (aa* = qa*a). These two frameworks give rise to different convolutions. In particular, in the second scheme, G. Carnovale and T. H. Koornwinder studied their q-convolution. In the present paper we consider another convolution of measures...
Convultion and S-Convultion of distributions.
Corrected Fourier series and its application to function approximation.
Correction to the paper "On convergence of Fourier series of functions of generalized bounded variation" (Studia Math., 44 (1972), pp. 107-117)
Corrections to the Papers "Power Bounded Matrices of Fourier-Stieltjes Transforms I, II".
Corrigenda to: "Generalizations of theorems of Fejér and Zygmund on convergence and boundedness of conjugate series" (Studia Math. 57 (1976), 241-249)
Proposition 4.1(i) of [1] is incorrect, i.e. the sequence of Cesàro-sections of a sequence x in a translation invariant BK-space is not necessarily bounded. Theorem 4.2(ii) of [1] and the proof of Proposition 4.3 of [1] are corrected. All other statements of [1], including Proposition 4.3 itself, are correct.
Corrigendum: On summability of Fourier series.
Counterexamples for classical operators on Lorentz-Zygmund spaces
Coup d'oeil sur la théorie des séries trigonométriques les plus usuelles, et sur une raison naturelle de leur convergence, applicable aux autres développements de fonctions arbitraires employés en Physique mathématique
Criteria for absolute and strong convergence of Fourier series
Critical length for a Beurling type theorem
In a recent paper [3] C. Baiocchi, V. Komornik and P. Loreti obtained a generalisation of Parseval's identity by means of divided differences. We give here a proof of the optimality of that theorem.
Damping oscillatory integrals with polynomial phase.
Decreasing Rearranged Fourier Series.