# Category:Spectral theory

Here is a list of articles in the Spectral theory category of the Computing portal that unifies foundations of mathematics and computations using computers. In mathematics, spectral theory deals with attempts to understand operators, graphs and dynamical systems by means of the spectrum of eigenvalues associated with the system. The classical examples of spectra are the vibration modes of a violin string or the spectrum of a hydrogen atom.

## Pages in category "Spectral theory"

The following 50 pages are in this category, out of 50 total.

- Spectral theory
*(computing)*

### *

- Spectral graph theory
*(computing)* - Spectral theorem
*(computing)* - Transform theory
*(computing)*

### A

- Almost Mathieu operator
*(computing)* - Alon–Boppana bound
*(computing)*

### B

- Bauer–Fike theorem
*(computing)*

### D

- Decomposition of spectrum (functional analysis)
*(computing)* - Dirac spectrum
*(computing)* - Dirichlet eigenvalue
*(computing)* - Discrete spectrum (mathematics)
*(computing)*

### E

- Essential spectrum
*(computing)*

### F

- Fractional Chebyshev collocation method
*(computing)*

### H

- Hearing the shape of a drum
*(computing)* - Heat kernel
*(computing)*

### I

- Isospectral
*(computing)*

### K

- Krein–Rutman theorem
*(computing)* - Kuznetsov trace formula
*(computing)*

### L

- Lax pair
*(computing)* - Limiting absorption principle
*(physics)*

### M

- Min-max theorem
*(computing)* - Multi-spectral phase coherence
*(computing)*

### N

- Normal eigenvalue
*(computing)* - Numerical range
*(computing)*

### P

- Polyakov formula
*(computing)* - Projection-valued measure
*(computing)* - Proto-value function
*(computing)* - Proto-value functions
*(computing)* - Pseudospectrum
*(computing)*

### R

- Ramanujan graph
*(computing)* - Rayleigh–Faber–Krahn inequality
*(computing)* - Riesz projector
*(computing)* - Rigged Hilbert space
*(computing)*

### S

- Schur–Horn theorem
*(computing)* - Selberg zeta function
*(computing)* - Spectral abscissa
*(computing)* - Spectral asymmetry
*(computing)* - Spectral gap
*(computing)* - Spectral geometry
*(computing)* - Spectral radius
*(computing)* - Spectral theory of compact operators
*(computing)* - Spectral theory of ordinary differential equations
*(computing)* - Spectrum (functional analysis)
*(computing)* - Spectrum of a C*-algebra
*(computing)* - Starlike tree
*(computing)* - Sturm-Liouville theory
*(computing)* - Sturm–Liouville theory
*(computing)* - Superstrong approximation
*(computing)*

### T

- Transfer operator
*(computing)*

### W

- Weyl law
*(computing)*