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- W3190492705 abstract "In this work, we find approximate identities for the spaces $latex {L}^{{1}}{left(mathbb{R}^{d}right)}$ , $latex {L_{w}^{1}left(mathbb{R}^{d}right)}$ and $latex S_{w}^{alpha }(mathbb{R}{^{d}})$ under $latex Theta$ convolution. Furthermore, we determine approximate identities with compactly supported fractional Fourier transforms in the spaces $latex {L_{w}^{1}left(mathbb{R}^{d}right)}$ and $latex S_{w}^{alpha }(mathbb{R}{^{d}})$ , where $latex w$ is weight function of regular growth. We give definitions of multipliers of these Banach algebras under $latex Theta$ convolution. Also, we show that the space $latex S_{w}^{alpha }(mathbb{R}{^{d}})$ under some conditions is an abstract Segal algebra with recpect to $latex {L_{w}^{1}left(mathbb{R}^{d}right)}$ ." @default.
- W3190492705 created "2021-08-16" @default.
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- W3190492705 date "2022-01-01" @default.
- W3190492705 modified "2023-09-27" @default.
- W3190492705 title "On an abstract Segal algebra under fractional convolution" @default.
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