Luis Pinheiro De CASTRO, Rita Correia GUERRA, Nguyen Minh TUAN

122117

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,

PDF
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
Sayıdaki Diğer Makaleler

Solutions to nonlinear second-order three-point boundary value problems of dynamic equations on time scales

Abdulkadir DOĞAN

Abdelkader DEHICI

Gülşen ULUCAK

Abdülkadir DOĞAN

Construction of higher groupoids via matched pairs actions

Erdal ULUALAN, Koray YILMAZ

On an elliptic boundary value problem with critical exponent

Khadijah SHARAF

Generalized helices in three-dimensional Lie groups

Alexander YAMPOLSKY, Anastasiya OPARIY

The cissoid of Diocles in the Lorentz–Minkowski plane

Şenay BAYDAŞ, Bülent KARAKAŞ

Adiba NAZ, Sumit NAGPAL, V. RAVICHANDRAN

On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$

Melissa NALBANDIYAN, Feza ARSLAN, Anargyros KATSABEKIS