The Multiplier Algebras Mp(Γ), and the Theorem of Zafran

  • Colin C. Graham
  • O. Carruth McGehee
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 238)

Abstract

For 1 ≤ p < ∞, consider the Banach space of functions on the integer group Z,
$${L^{P}}{\left( T \right)^{ \wedge }} = \left\{ {\hat{f}:f \in {L^{P}}\left( T \right)} \right\},$$
with norm
$$ \parallel \hat{f}{\parallel _{{{L^{P}}{{\left( T\right)}^{ \wedge }}}}} = \parallel f{\parallel _{{{L^{P}}\left( T \right).}}} $$

Keywords

Convolution Stein 

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Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Colin C. Graham
    • 1
  • O. Carruth McGehee
    • 2
  1. 1.Department of MathematicsNorthwestern UniversityEvanstonUSA
  2. 2.Department of MathematicsLouisiana State UniversityBaton RougeUSA

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