Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform
Yıl: 2021 Cilt: 50 Sayı: 6 Sayfa Aralığı: 1620 - 1635 Metin Dili: İngilizce DOI: 10.15672/hujms.795924 İndeks Tarihi: 29-07-2022
Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform
Öz: The fractional Fourier transform is a generalization of the classical Fourier transform through an angular parameter $alpha $. This transform uses in quantum optics and quantum wave field reconstruction, also its application provides solving some differrential equations which arise in quantum mechanics. The aim of this work is to discuss compact and non-compact embeddings between the spaces $A_{alpha ,p}^{w,omega }left(mathbb{R}^{d}right) $ which are the set of functions in ${L_{w}^{1}left(mathbb{R}^{d}right) }$ whose fractional Fourier transform are in ${L_{omega}^{p}left(mathbb{R}^{d}right) }$. Moreover, some relevant counterexamples are indicated.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | TOKSOY E, Sandikci A (2021). Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform. , 1620 - 1635. 10.15672/hujms.795924 |
| Chicago | TOKSOY Erdem,Sandikci Ayse Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform. (2021): 1620 - 1635. 10.15672/hujms.795924 |
| MLA | TOKSOY Erdem,Sandikci Ayse Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform. , 2021, ss.1620 - 1635. 10.15672/hujms.795924 |
| AMA | TOKSOY E,Sandikci A Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform. . 2021; 1620 - 1635. 10.15672/hujms.795924 |
| Vancouver | TOKSOY E,Sandikci A Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform. . 2021; 1620 - 1635. 10.15672/hujms.795924 |
| IEEE | TOKSOY E,Sandikci A "Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform." , ss.1620 - 1635, 2021. 10.15672/hujms.795924 |
| ISNAD | TOKSOY, Erdem - Sandikci, Ayse. "Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform". (2021), 1620-1635. https://doi.org/10.15672/hujms.795924 |
| APA | TOKSOY E, Sandikci A (2021). Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform. Hacettepe Journal of Mathematics and Statistics, 50(6), 1620 - 1635. 10.15672/hujms.795924 |
| Chicago | TOKSOY Erdem,Sandikci Ayse Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform. Hacettepe Journal of Mathematics and Statistics 50, no.6 (2021): 1620 - 1635. 10.15672/hujms.795924 |
| MLA | TOKSOY Erdem,Sandikci Ayse Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform. Hacettepe Journal of Mathematics and Statistics, vol.50, no.6, 2021, ss.1620 - 1635. 10.15672/hujms.795924 |
| AMA | TOKSOY E,Sandikci A Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform. Hacettepe Journal of Mathematics and Statistics. 2021; 50(6): 1620 - 1635. 10.15672/hujms.795924 |
| Vancouver | TOKSOY E,Sandikci A Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform. Hacettepe Journal of Mathematics and Statistics. 2021; 50(6): 1620 - 1635. 10.15672/hujms.795924 |
| IEEE | TOKSOY E,Sandikci A "Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform." Hacettepe Journal of Mathematics and Statistics, 50, ss.1620 - 1635, 2021. 10.15672/hujms.795924 |
| ISNAD | TOKSOY, Erdem - Sandikci, Ayse. "Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform". Hacettepe Journal of Mathematics and Statistics 50/6 (2021), 1620-1635. https://doi.org/10.15672/hujms.795924 |
