Fourier transform and quasi-analytic classes of functions of bounded type on tubular domains

作者：Shamoyan F A^*

来源：Functional Analysis and Its Applications, 2017, 51(2): 157-160.

DOI：10.1007/s10688-017-0179-y

• Fourier transform
• quasi-analytic classes
• pluriharmonic function
• tubular domain

A condition for a function of bounded type to belong to the Hardy class H (1) in terms of the Fourier transform of the boundary values of this function on R (n) is found. Applications of the obtained result to the theories of Hardy classes and of quasi-analytic classes of functions are given.

• 出版日期2017-4