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Some properties of Holmgren-Riesz transform. (English) Zbl 0099.31402


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[1] 1 Bassam , M.A. , Holmgren-Riesz Transform , Diësertation, University of Texas , Austin, Texas , June 1951 .
[2] 2 Grünwald ? K.A. , Uber begrenzte Derivationen und deren anwendung , Zeitsohrift fur Math. und Physik , V. 12 ( 1867 ) pp. 441 - 480 .
[3] 3 Hadamard , J. , Lectures on Cauchy’s problem , Yale University Press , ( 1923 ). JFM 49.0725.04 · JFM 49.0725.04
[4] 4 Holmgren , H.J. , Om differentialkalsylen med indices of hvilken nature som helst , Kongl. Svenska Vetenskaps-Akademies Hadlinger , Bd. 5 , n. 11 , Stockholm ( 1865 -66), pp. 1 - 83 .
[5] 5 Liouville , J. , Sur calcul des differentielles a’ indiceo quelconques , Journal de l’école polytechnique , V. 13 ( 1832 ) pp. 1 - 69 .
[6] 6 Rikmann , B. , Versuch liner allgemeinen Auffassung der integration und differentiation , Gesammelte Mathematische Werke , Leipzig , ( 1876 ), pp. 331 - 344 .
[7] 7 Riesz Marcel , L’integral de Riemann-Liouville et le probleme de Cauchy , Acta Mathematica , V. 81 ( 1949 ), pp. 1 - 223 . MR 30102 | Zbl 0033.27601 · Zbl 0033.27601
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