Modulation spaces Mp,q for 0<p, q≦∞

The purpose of this paper is to construct modulation spaces Mp,q(Rd) for general 0<p, q≦∞, which coincide with the usual modulation spaces when 1≦p,q≦∞, and study their basic properties including their completeness. Given any g∈S(Rd) such that supp ĝ⊂  {ξ∣|ξ|≦1} and ∑k∈Zdĝ(ξ-αk)≡1, our modula...

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Bibliographic Details
Main Author: Masaharu Kobayashi
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2006/409840