A Fourier integral formula for logarithmic energy

التفاصيل البيبلوغرافية
العنوان: A Fourier integral formula for logarithmic energy
المؤلفون: Frerick, Leonhard, Müller, Jürgen, Thomaser, Tobias
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Classical Analysis and ODEs, 31A15, 31B15
الوصف: A formula which expresses logarithmic energy of Borel measures on R^n in terms of the Fourier transforms of the measures is established and some applications are given. In addition, using similar techniques a (known) formula for Riesz energy is reinvented.
Comment: 14 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2209.05439
رقم الانضمام: edsarx.2209.05439
قاعدة البيانات: arXiv