C1 Changes of Variable: Beurling-Helson Type Theorem and Hörmander Conjecture on Fourier Multipliers.
Calderón's Formula Associated with a Differential Operator on (0, ...) and Inversion of the Generalized Abel Transform.
Canonical products of infinite order.
Caratterizzazione dei polinomi di convoluzione in una variabile a decrescenza rapida, a coefficienti costanti, che hanno soluzioni quasi periodiche per ogni termine noto quasi periodico
Carleson's Theorem: proof, complements, variations.
Carleson's Theorem from 1965 states that the partial Fourier sums of a square integrable function converge pointwise. We prove an equivalent statement on the real line, following the method developed by the author and C. Thiele. This theorem, and the proof presented, is at the center of an emerging theory which complements the statement and proof of Carleson's theorem. An outline of these variations is also given.
Causality and local analyticity : mathematical study
Central Lacunary Sets.
Certain lacunary cosine series are recurrent
Let the coefficients of a lacunary cosine series be bounded and not square-summable. Then the partial sums of the series are recurrent.
Cesàro means of trigonometric Fourier series.
Cesàro summability of one- and two-dimensional trigonometric-Fourier series
We introduce p-quasilocal operators and prove that if a sublinear operator T is p-quasilocal and bounded from to then it is also bounded from the classical Hardy space to (0 < p ≤ 1). As an application it is shown that the maximal operator of the one-parameter Cesàro means of a distribution is bounded from to (3/4 < p ≤ ∞) and is of weak type . We define the two-dimensional dyadic hybrid Hardy space and verify that the maximal operator of the Cesàro means of a two-dimensional...
Character sums in complex half-planes
Let be a finite subset of an abelian group and let be a closed half-plane of the complex plane, containing zero. We show that (unless possesses a special, explicitly indicated structure) there exists a non-trivial Fourier coefficient of the indicator function of which belongs to . In other words, there exists a non-trivial character such that .
Characterisations of H... by singular intetgral transforms on martingales and R...
Characteristics of Besov-Nikol'skiĭ class of functions.
Characterization of Convolution Operators on Spaces of C-Functions Admitting a Continuous Linear Right Inverse.
Characterization of L...(R...) Using Gabor Frames.
Characterization of measures in the group C*-algebra of a locally compact group.
Characterization of moment multisequences by a variation of positive definiteness.
Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse
Extending previous work by Meise and Vogt, we characterize those convolution operators, defined on the space of (ω)-quasianalytic functions of Beurling type of one variable, which admit a continuous linear right inverse. Also, we characterize those (ω)-ultradifferential operators which admit a continuous linear right inverse on for each compact interval [a,b] and we show that this property is in fact weaker than the existence of a continuous linear right inverse on .
Characterization of the strict convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions
We introduce the new class of Besicovitch-Musielak-Orlicz almost periodic functions and consider its strict convexity with respect to the Luxemburg norm.
Characterizations of periodic function spaces of Besov-Sobolev type via approximation processes and relations to the strong summability of Fourier series