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

121115

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,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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