Quadratic Fourier Transforms
نویسندگان
چکیده
In this paper we shall examine the quadratic Fourier transform which is introduced by the generalized quadratic function for one order parameter in the ordinary Fourier transform. This will be done by analyzing corresponding six subcases of the quadratic Fourier transform within a reproducing kernel Hilbert spaces framework. Center for R&D in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal. E-mail address: [email protected]; [email protected] 2 Department of Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh. E-mail address: [email protected]; [email protected] 3 Department of Mathematics, College of Education, Viet Nam National University, G7 build., 144 Xuan Thuy Rd., Cau Giay dist., Hanoi, Vietnam. E-mail address: [email protected]; [email protected] Date: Received: 13 March 2013; Accepted: 28 April 2013. ∗ Corresponding author. 2010 Mathematics Subject Classification. Primary 42A38; Secondary 30C40, 32A36, 46E22.
منابع مشابه
A note on Fourier transforms: G. W. Morgan. A THEOREM ON IRRATIONAL INDEFINITE QUADRATIC FORMS
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