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• W1968001148 abstract "The jump behavior and symmetric jump behavior of distributions are studied. We give several formulas for the jump of distributions in terms of logarithmic averages, this is done in terms of Cesàro-logarithmic means of decompositions of the Fourier transform and in terms of logarithmic radial and angular local asymptotic behaviors of harmonic conjugate functions. Application to Fourier series are analyzed. In particular, we give formulas for jumps of periodic distributions in terms of Cesàro–Riesz logarithmic means and Abel–Poisson logarithmic means of conjugate Fourier series." @default.
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• W1968001148 date "2008-11-01" @default.
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• W1968001148 title "On the jump behavior of distributions and logarithmic averages" @default.
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• W1968001148 doi "https://doi.org/10.1016/j.jmaa.2008.06.014" @default.
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