On Spectral Synthesis for Contractive p-Norms and Besov Spaces |
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| Authors: | Fukushima Masatoshi Uemura Toshihiro |
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| Affiliation: | (1) Department of Mathematics, Faculty of Engineering, Kansai University, Suita, Osaka, Japan, 564-8680 (e-mail;(2) Department of Management Science, Kobe University of Commerce, Nishi, Kobe, Japan, 651-2197 (e-mail |
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| Abstract: | We prove that spectral synthesis is possible for a general function space Fp with a contractive p-norm, namely, any quasi-continuous function in Fp vanishing q.e. outside an open set G can be approximated in this norm by continuous functions in Fp with compact support in G. The result is applied to contractive Besov spaces over d-sets in RN and censored stable processes over N-sets. |
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| Keywords: | spectral synthesis contractive p-norm Besov space censored stable process |
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