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Harmonic analysis on \(n\)-dimensional vector spaces over local fields. II: Generalized Gauss kernels and the Littlewood-Paley function. (English) Zbl 0181.41701


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[1] Edwards, R. E., Hewitt, E.: Pointwise limits for sequence of convolution operators. Acta Math.113, 181-218 (1965). · Zbl 0161.11104 · doi:10.1007/BF02391777
[2] Phillips, K., Taibleson, M. H.: Singular integrals in several variables over a local field. Pacific J. Math.30, 209-231 (1969). · Zbl 0177.15504
[3] Sally, P. J., Taibleson, M. H.: Special functions on locally compact fields. Acta Math.116, 279-309 (1966). · Zbl 0173.07005 · doi:10.1007/BF02392818
[4] Stein, E. M.: On the functions of Littlewood-Paley, Lusin and Marcinkiewicz. Trans. Amer. Math. Soc.88, 430-466 (1958). · Zbl 0105.05104 · doi:10.1090/S0002-9947-1958-0112932-2
[5] Taibleson, M. H.: On the theory of Lipschitz spaces of distributions on Euclideann-space. J. Math. Mech.13, 407-479 (1964). · Zbl 0132.09402
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