Ilim ha’m ja’miyet 2-1-сан (2026) · 11-14-беттер
HARMONIC FUNCTIONS IN MATRIX SPACES
Xalknazarov, Askar Maxsetbaevich, Orazbekova, Dilbar Kosjanovna, Халкназаров, Аскар Махсетбаевич, Оразбекова, Дилбар Косжановна, Xalknazarov, Asqar Maxsetbaevich, Orazbekova, Dilbar Qosjan qızı
Аннотация
This paper investigates differential operators within the framework of matrix analysis. The definition of differential operators for matrix-valued functions, their matrix representation, and their invariant properties under linear fractional transformations are studied. Particular attention is paid to the generalized Laplace operator on matrix domains and its significance in the theory of harmonic functions.
matritsaviy analizdifferensial operatorLaplas operatoriinvariantlikmatritsaviy sohagarmonik funksiyaматричный анализдифференциальный оператороператор Лапласаинвариантность
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