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1. Spectral theory: In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces. It is a ... [100%] 2023-02-21 [Spectral theory] [Linear algebra]...
2. Spectral theory: of linear operators The branch of functional analysis in which one studies the structure of a linear operator on the basis of its spectral properties (such as the location of the spectrum, the behaviour of the resolvent and the asymptotics ... (Mathematics) [100%] 2024-01-13
3. Spectral theory of differential operators: The branch of the general spectral theory of operators in which one investigates the spectral properties of differential operators on various function spaces, especially on Hilbert spaces of measurable functions. Let $ \Omega _ {n} $ be a domain in $ \mathbf R ... (Mathematics) [63%] 2024-01-10
4. Spectral theory of compact operators: In functional analysis, compact operators are linear operators on Banach spaces that map bounded sets to relatively compact sets. In the case of a Hilbert space H, the compact operators are the closure of the finite rank operators in the ... [63%] 2024-01-10 [Functional analysis] [Spectral theory]...
5. Spectral theory of compact operators: Riesz theory of compact operators Let $X$ be a complex Banach space and $T$ a compact operator on $X$. Then $\sigma ( T )$, the spectrum of $T$, is countable and has no cluster points except, possibly, $0$. (Mathematics) [63%] 2024-01-10
6. Spectral theory of ordinary differential equations: In mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation, Hermann Weyl generalized the classical ... (Part of spectral theory) [57%] 2023-10-25 [Ordinary differential equations] [Operator theory]...
7. Spectral theory of ordinary differential equations: In mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation, Hermann Weyl generalized the classical ... (Part of spectral theory) [57%] 2023-12-31 [Ordinary differential equations] [Operator theory]...
8. Spectral graph theory: In mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors of matrices associated with the graph, such as its adjacency matrix or Laplacian matrix. The adjacency matrix ... (Linear algebra aspects of graph theory) [81%] 2024-01-12 [Algebraic graph theory] [Spectral theory]...
9. Spectral Graph Theory: This page, as of now, contains resources to learn spectral graph theory. [81%] 2024-01-12 [Graph theory]