Eigenfunction expansions of the Laplace-Beltrami Operator.

      Аннотация: In "Eigenfunction Expansions of the Laplace-Beltrami Operator: A Comprehensive Exploration," Professor Anvarjon Akhmedov delves into the intricate world of eigenfunction expansions and their applications within the context of the Laplace-Beltrami operator. This meticulously crafted book is an invaluable resource for mathematicians, physicists, and researchers seeking a profound understanding of the Laplace-Beltrami operator's eigenfunctions and their far-reaching implications. The Laplace-Beltrami operator, a cornerstone of differential geometry and functional analysis, holds paramount importance across various disciplines, including geometry, physics, and computer science.

Ключевые слова: Eigenfunction Expansions Laplace-Beltrami Operator Spectral Theory Partial Differential Equations Differential Geometry Functional Analysis Orthogonal Eigenfunctions