Sanjiv Kumar Gupta

Generalized De Leeuw Theorem

Abstract:
A new restriction for the multipliers of $L^p(R)$ to $L^p(T)$ has been introduced. Our results generalize the famous De Leeuw's theorem on the transference of Fourier multipliers between $R$ and $T$.

Keywords:
Real numbers, circle group, Fourier multipliers.

MSC 2000: 22E30, 43A80, 43A85