Kal'menov, TynysbekArepova, Gaukhar2023-06-162023-06-162016-03-17Kal'menov, T. S., & Arepova, G. D. (2016). Quasi-spectral decomposition of the heat potential. <i>Electronic Journal of Differential Equations, 2016</i>(76), pp. 1-4.1072-6691https://hdl.handle.net/10877/16948In this article, by multiplying of the unitary operator (Pƒ) (x,t) = ƒ(x, T - t), 0 ≤ t ≤ T, the heat potential turns into a self-adjoint operator. From the spectral decomposition of this completely continuous self-adjoint operator we obtain a quasi-spectral decomposition of the heat potential operator.Text4 pages1 file (.pdf)enAttribution 4.0 InternationalHeat potentialQuasi-spectral decompositionSelf-adjoint operatorUnitary operatorThe fundamental solutionArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.