Category

Spectral theory

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term used in functional analysis

spectral theorem

spectral theory

field of mathematics about eigenvalues and eigenvectors of linear operators

spectral radius

largest absolute value of an operator's eigenvalues

spectral graph theory

the study of the properties of a graph in relationship to matrices associated with the graph

Sturm–Liouville theory

theory of 2nd‐order linear ODEs that are eigenvalue equations of the operator 𝑤(𝑥)⁻¹((d∕d𝑥)𝑝(𝑥)d∕d𝑥+𝑞(𝑥))

projection-valued measure

mathematical operator-valued measure of interest in quantum mechanics and functional analysis

Selberg zeta function

Matrices satisfying a differential equation

Ramanujan graph

spectral graph theory concept

hearing the shape of a drum

mathematical problem in spectral theory

spectral geometry

field in mathematics

rigged Hilbert space

Hilbert space equipped with a dense subspace that carries (in addition to the subspace topology) a finer topology such that the inclusion map is continuous

fundamental solution to the heat equation, given boundary values

Fredholm theory

mathematical theory of integral equations

Min-max theorem

variational characterization of eigenvalues of compact Hermitian operators on Hilbert spaces

Schur–Horn theorem

characterizes the diagonal of a Hermitian matrix with given eigenvalues

transfer operator

pushforward on the space of measurable functions