Approximation of Functions and Fourier Multipliers and their applications

Objectif

This research project is concerned with the following three topics in approximation theory and Fourier analysis:
1) Simultaneous approximation of functions and their derivatives in Lp, 02) New inequalities for moduli of smoothness of functions in Lp, 03) Fourier multipliers and families of multiplier operators in Lp, p>0. We expect to obtain sufficient conditions of the boundedness for such operators in terms of the simultaneous behavior of a multiplier and its derivatives in different functional spaces, and to apply such conditions for solving problems from this proposal.

In our approaches we will combine the methods from approximation theory and Fourier analysis simultaneously, contrary to the previous research concerning the mentioned tasks. Moreover, by using and developing the newly introduced concepts of families of multiplier operators in Lp, 0
Working on the proposed research tasks in the teams of very qualified specialists will allow the experienced researcher to enhance his competence in terms of skills acquisition through advanced training, international and intersectoral mobility, to develop a long-lasting research cooperation and to increase the impact of his future activities on European and Ukrainian society.

Champ scientifique

Programme(s)

Thème(s)

MSCA-IF-2015-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF)

Appel à propositions

H2020-MSCA-IF-2015

Voir d’autres projets de cet appel

Régime de financement

MSCA-IF-EF-ST - Standard EF

Coordinateur

UNIVERSITAET zu LUEBECK

Contribution nette de l'UE

€ 171 460,80

Adresse

RATZEBURGER ALLEE 160
23562 Lubeck
Allemagne

Région

Schleswig-Holstein Schleswig-Holstein Lübeck, Kreisfreie Stadt

Type d’activité

Higher or Secondary Education Establishments

Liens

Contacter l’organisation Site web

Participation aux programmes de R&I de l'UE

Réseau de collaboration HORIZON

Coût total