Convolution Operators
Mostrando 1-4 de 4 artigos, teses e dissertações.
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1. Holomorphy types on a Banach spaces / Tipos de holomorfia em espaços de Banach
In this work we introduce and study functions of ?-holomorphy type of bounded type. In particular we obtain a duality result via the Borel transform and we prove existence and approximation results for convolution equations. The results we prove generalize previous results of this type due to C. Gupta [21], M. Matos [28] and X. Mujica [32]. We study the rela
Publicado em: 2008
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2. CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
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3. SPECTRAL REPRESENTATIONS AND UNBOUNDED CONVOLUTION OPERATORS
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4. Spectra of convolution operators on Lp spaces
Let 1 < p < ∞ with p ≠ 2. Let G denote the n-torus or Euclidean n-space, and let Γ be the dual group of G. We show the existence of a multiplier transformation T on Lp(G) which satisfies the following properties: (a) the transform T̂ of T is smooth and vanishes at infinity on Γ; (b) the spectrum of T on Lp properly contains T̂(Γ)∪{0}.