期刊
ANNALS OF FUNCTIONAL ANALYSIS
卷 5, 期 1, 页码 10-23出版社
TUSI MATHEMATICAL RESEARCH GROUP
DOI: 10.15352/afa/1391614564
关键词
Fourier transform; quadratic Fourier transform; reproducing kernel; Bergman-Selberg space; analytic extension formula
资金
- FEDER funds through COMPETE-Operational Programme Factors of Competitiveness (Programa Operacional Factores de Competitividade)
- Portuguese funds through the Center for Research and Development in Mathematics and Applications
- Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia) [PEst-C/MAT/UI4106/2011]
- COMPETE [FCOMP-01-0124-FEDER-022690]
- Department of Statistics of University of Rajshahi, Bangladesh [CP-509]
- Viet Nam National Foundation for Science and Technology Developments (NAFOSTED)
- [24540113]
In this paper we shall examine the quadratic Fourier transform which is introduced by the generalized quadratic function for one order parameter in the ordinary Fourier transform. This will be done by analyzing corresponding six subcases of the quadratic Fourier transform within a reproducing kernel Hilbert spaces framework.
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