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Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 3

On Wiener’s Tauberian theorems and convolution for oscillatory integral operators

Rita Correia GUERRA
Luis Pinheiro de CASTRO
Nguyen Minh TUAN
Sayfa
1124–1147
Yayın Tarihi
2022-11-04
DOI
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Additionally, a new Young-type inequality for the obtained convolution is proven, and a new Wiener-typealgebra is also associated with this convolution.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The main aim of this work is to obtain Paley–Wiener and Wiener’s Tauberian results associated withan oscillatory integral operator, which depends on cosine and sine kernels, as well as to introduce a consequent newconvolution.
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Temel Bulgular & Veri:The main aim of this work is to obtain Paley–Wiener and Wiener’s Tauberian results associated withan oscillatory integral operator, which depends on cosine and sine kernels, as well as to introduce a consequent newconvolution.
💡
Sonuç & Katkı:Additionally, a new Young-type inequality for the obtained convolution is proven, and a new Wiener-typealgebra is also associated with this convolution.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The main aim of this work is to obtain Paley–Wiener and Wiener’s Tauberian results associated withan oscillatory integral operator, which depends on cosine and sine kernels, as well as to introduce a consequent newconvolution. Additionally, a new Young-type inequality for the obtained convolution is proven, and a new Wiener-typealgebra is also associated with this convolution.

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Bu Makaleye Atıf Yap

GUERRA, R. C., CASTRO, L. P. D., TUAN, N. M. (2022). On Wiener’s Tauberian theorems and convolution for oscillatory integral operators. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 3, 1124–1147. https://ajindex.com/articles/607683

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Kaynakça (19)

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