Paper Title:

On the Integral Equations via Hartley Superconvolutions

Author(s):

Nguyen Minh Khoa

Department of Mathematics, Electric Power University,
Ha Noi,
Viet Nam.
E-mail: khoanm@epu.edu.vn

Abstract:

The new superconvolutions for the Hartley integral transforms are formulated and their properties are studied. Furthermore, we also formulate the Young type theorem for these superconvolutions in the function space L_s^αβγ(R) and get its norm estimations. We apply them to solve integral equations and system of integral equations of Toeplitz plus Hankel type.

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