Об одном обобщении теоремы о среднем для гармонических функций
Об одном обобщении теоремы о среднем для гармонических функций
Исследуется среднее значение на единичной сфере произведения гармонической в шаре функции на однородный полином. Mean value on the unit sphere of a product of a harmonic function in the unit ball and a homogeneous polynomial is investigated. Карачик Валерий Валентинович - доктор физико-математических наук, профессор, кафедра математического анализа, Южно-Уральский государственный университет. E-mail: karachik@susu.ru Karachik Valeriy Valentinovich is Dr. Sc. (Physics and Mathematics), Professor, Mathematical Analysis Department, South Ural State University. E-mail: karachik@susu.ru
- South Ural State University (Южно-Уральский государственный университет) Russian Federation
УДК 517.586, гармонические функции, mean theorem, ГРНТИ 27.35, harmonic polynomials, гармонические полиномы, теорема о среднем, harmonic functions
УДК 517.586, гармонические функции, mean theorem, ГРНТИ 27.35, harmonic polynomials, гармонические полиномы, теорема о среднем, harmonic functions
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