On Wiener's Tauberian theorems and convolution for oscillatory integral operators
The main aim of this work is to obtain Paley--Wiener and Wiener's Tauberian results associated with an oscillatory integral operator, which depends on cosine and sine kernels, as well as to introduce a consequent new convolution. Additionally, a new Young-type inequality for the obtained convolution is proven, and a new Wiener-type algebra is also associated with this convolution.
Keywords:
Wiener Tauberian theorem, Paley-Wiener theorem convolution, asymptotic behavior, Young inequality,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
Derya Keskin TÜTÜNCÜ, Yosuke KURATOMI, Yoshiharu SHIBATA
A short note on some arithmetical properties of the integer part of $\alpha p$
Fatima Zohra BERRABAH, Benaouda HEDIA, Johnny HENDERSON
On the solvability of the main boundary value problems for a nonlocal Poisson equation
Valery V. KARACHIK, Abdizhahan M. SARSENBI, Batirkhan K. TURMETOV
On null submanifolds of generalized Robertson–Walker space forms
Mohamed H. A. HAMED, Fortune MASSAMBA, Samuel SSEKAJJA
Valery KARACHIK, Abdizhahan SARSENBI, Batirkhan TURMETOV
Adiba NAZ, Sumit NAGPAL, V. RAVICHANDRAN
An involution of reals, discontinuous on rationals, and whose derivative vanishes a.e.