On the jump behavior of distributions and logarithmic averages

作者：Vindas Jasson^*; Estrada Ricardo

来源：Journal of Mathematical Analysis and Applications, 2008, 347(2): 597-606.

DOI：10.1016/j.jmaa.2008.06.014

• jumps
• Fourier series
• asymptotic behavior of distributions

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 Cesaro-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 Cesaro-Riesz logarithmic means and Abel-Poisson logarithmic means of conjugate Fourier series.

• 出版日期2008-11-15