Spectra of convolution operators on L spaces
Let 1 < p < infinity with p not equal 2. Let G denote the n-torus or Euclidean n-space, and let Gamma be the dual group of G. We show the existence of a multiplier transformation T on L(p)(G) which satisfies the following properties: (a) the transform T of T is smooth and vanishes at infinity...
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| Veröffentlicht in: | Proceedings of the National Academy of Sciences - PNAS 1975-09, Vol.72 (9), p.3285-3286 |
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| container_title | Proceedings of the National Academy of Sciences - PNAS |
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| creator | Zafran, M |
| description | Let 1 < p < infinity with p not equal 2. Let G denote the n-torus or Euclidean n-space, and let Gamma be the dual group of G. We show the existence of a multiplier transformation T on L(p)(G) which satisfies the following properties: (a) the transform T of T is smooth and vanishes at infinity on Gamma; (b) the spectrum of T on L(p) properly contains T(Gamma) union or logical sum{0}. |
| doi_str_mv | 10.1073/pnas.72.9.3285 |
| format | Article |
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| ispartof | Proceedings of the National Academy of Sciences - PNAS, 1975-09, Vol.72 (9), p.3285-3286 |
| issn | 0027-8424 |
| language | eng |
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| source | Jstor Complete Legacy; PubMed Central; Alma/SFX Local Collection; Free Full-Text Journals in Chemistry |
| title | Spectra of convolution operators on L spaces |
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