TY  - JOUR
AV  - restricted
VL  - 87
ID  - acta75853
JF  - Acta scientiarum mathematicarum
EP  - 539
N1  - Bibliogr.: p. 538-539. ; összefoglalás angol nyelven
TI  - Characterization of Schauder basis property of Gabor systems in local fields
SN  - 2064-8316
KW  - Analízis - matematikai
UR  - http://acta.bibl.u-szeged.hu/75853/
N2  - Let K be a totally disconnected, locally compact and nondiscrete field of positive characteristic and D be its ring of integers. We characterize the Schauder basis property of the Gabor systems in K in terms of A2 weights on D × D and the Zak transform Zg of the window function g that generates the Gabor system. We show that the Gabor system generated by g is a Schauder basis for L 2 (K) if and only if |Zg| 2 is an A2 weight on D × D. Some examples are given to illustrate this result. Moreover, we construct a Gabor system which is complete and minimal, but fails to be a Schauder basis for L 2 (K).
Y1  - 2021///
IS  - 3-4
CY  - Szeged
SP  - 517
A1  -  Behera Biswaranjan
A1  -  Molla Md. Nurul
ER  -