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Contenido archivado el 2022-12-23

Generalised integrals in harmonic analysis and in real analysis

Objetivo



This research project is concerned with certain fields in analysis such as the theory of integrals, harmonic analysis, and the theory of orthogonal series.

In particular, the aims of the project are to develop a unified approach to solutions of the problem of recovering coefficients of orthogonal series from their sums by generalised Fourier formulas, including the case of multi-dimensional trigonometric, Walsh and other systems of characters of compact abelian groups; to investigate properties and applications of non-absolute integrals introduced for the above problem, in particular Henstock-Kurzweil type of integrals; to extend estimates of weak type to maximal functions defined by generalised integrals; to make progress in the problem of uniqueness of representation of functions including characterisations of sets of uniqueness for certain orthogonal systems.

Convocatoria de propuestas

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Régimen de financiación

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Coordinador

Università di Palermo
Aportación de la UE
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Dirección
Via Archirafi 34
90123 Palermo
Italia

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Coste total
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Participantes (5)