In mathematics, particularly in functional analysis, the spectrum of a bounded linear operator (or, more generally, an unbounded linear operator) is a...
30 KB (5,657 words) - 07:49, 12 September 2024
spectrum of a linear operator T {\displaystyle T} that operates on a Banach space X {\displaystyle X} is a fundamental concept of functional analysis...
26 KB (3,810 words) - 21:19, 1 October 2024
This is a list of functional analysis topics. See also: Glossary of functional analysis. Bra–ket notation Definite bilinear form Direct integral Euclidean...
5 KB (475 words) - 23:38, 19 July 2023
discrete spectrum of T. Spectrum (functional analysis) Resolvent formalism Decomposition of spectrum (functional analysis) Discrete spectrum (mathematics)...
8 KB (1,364 words) - 00:19, 13 June 2024
decomposition for linear operator: spectral theorem Decomposition of spectrum (functional analysis) This disambiguation page lists articles associated with the...
267 bytes (59 words) - 18:55, 10 June 2020
}(L)=\emptyset .} Spectrum (functional analysis) Decomposition of spectrum (functional analysis) Normal eigenvalue Essential spectrum Spectrum of an operator...
5 KB (851 words) - 01:58, 10 April 2023
linear algebra Spectrum (functional analysis), a generalization of the concept of matrix eigenvalues to operators Spectrum of a graph, studied in spectral...
8 KB (974 words) - 18:12, 24 October 2024
"Resolvent set", Encyclopedia of Mathematics, EMS Press Resolvent formalism Spectrum (functional analysis) Decomposition of spectrum (functional analysis)...
3 KB (453 words) - 05:29, 4 February 2024
Spectral theory (section A definition of spectrum)
spectral analysis Riesz projector Self-adjoint operator Spectrum (functional analysis), Resolvent formalism, Decomposition of spectrum (functional analysis) Spectral...
32 KB (4,668 words) - 11:23, 22 May 2024
Multiplication operator (category Functional analysis)
and spectrum of a multiplication operator on any Lp space. Translation operator Shift operator Transfer operator Decomposition of spectrum (functional analysis)...
5 KB (654 words) - 21:19, 1 October 2024
modeled with tools of functional analysis, specifically by the decomposition of the spectrum of a linear operator acting on a functional space. In classical...
22 KB (2,736 words) - 12:12, 6 September 2024
Autism (redirect from Autism spectrum)
Autism or autism spectrum disorder (ASD), is a neurodevelopmental disorder characterized by repetitive, restricted, and inflexible patterns of behavior...
256 KB (27,481 words) - 00:44, 23 November 2024
only a holomorphic functional calculus exists. If one wants to extend the natural functional calculus for polynomials on the spectrum σ ( a ) {\displaystyle...
24 KB (4,323 words) - 11:08, 10 March 2024
formalism is a technique for applying concepts from complex analysis to the study of the spectrum of operators on Banach spaces and more general spaces. Formal...
6 KB (866 words) - 01:13, 3 July 2024
the multiset of the eigenvalues of the matrix. In functional analysis, the concept of the spectrum of a bounded operator is a generalization of the eigenvalue...
6 KB (949 words) - 16:05, 20 January 2024
Functional magnetic resonance imaging or functional MRI (fMRI) measures brain activity by detecting changes associated with blood flow. This technique...
109 KB (14,211 words) - 05:36, 17 November 2024
designed to enable a new class of geographically-distributed spectrum monitoring and analysis applications. The key attribute is the ability to connect the...
31 KB (3,808 words) - 11:26, 14 October 2024
_{2}}=P_{\Gamma _{2}}P_{\Gamma _{1}}=0.} Spectrum (functional analysis) Decomposition of spectrum (functional analysis) Spectrum of an operator Resolvent formalism...
3 KB (510 words) - 20:44, 18 January 2024
Gelfand representation (redirect from Gelfand spectrum)
In mathematics, the Gelfand representation in functional analysis (named after I. M. Gelfand) is either of two things: a way of representing commutative...
12 KB (1,817 words) - 16:44, 26 August 2024
significant impairment in functional behavior because of underlying brain damage. Many indications of fetal alcohol spectrum disorders are developmental...
138 KB (15,886 words) - 09:06, 22 November 2024
In functional analysis, a branch of mathematics, the Borel functional calculus is a functional calculus (that is, an assignment of operators from commutative...
11 KB (1,698 words) - 22:40, 7 October 2024
Function (music) (redirect from Functional analysis (music))
Harmonic Theory, p. xii. Eytan Agmon, "Functional Harmony Revisited: A Prototype-Theoretic Approach", Music Theory Spectrum 17/2 (Autumn 1995), pp. 202-203....
20 KB (2,671 words) - 10:16, 18 October 2024
This is a glossary for the terminology in a mathematical field of functional analysis. Throughout the article, unless stated otherwise, the base field...
21 KB (3,203 words) - 13:35, 29 October 2024
Spectral density estimation (redirect from Spectrum estimation)
seek to estimate the whole generating spectrum. Spectrum analysis, also referred to as frequency domain analysis or spectral density estimation, is the...
23 KB (3,535 words) - 13:19, 8 November 2024
_{\mathrm {ess} ,5}(A).} Decomposition of spectrum (functional analysis) Discrete spectrum (mathematics) Essential spectrum Fredholm operator Operator theory...
7 KB (1,049 words) - 05:17, 22 May 2022
The ZX Spectrum (UK: /zɛd ɛks/) is an 8-bit home computer developed and marketed by Sinclair Research. Considered one of the most influential computers...
144 KB (13,829 words) - 03:24, 19 November 2024
In order to consider something to fall under the spectrum of analytic, it must demonstrate a functional relationship and it must be provable. Baer et al...
83 KB (9,641 words) - 06:25, 21 November 2024
Hilbert space (redirect from Hilbert spaces and Fourier analysis)
success of Hilbert space methods ushered in a very fruitful era for functional analysis. Apart from the classical Euclidean vector spaces, examples of Hilbert...
128 KB (17,481 words) - 23:15, 6 November 2024
Spectrum continuation analysis (SCA) is a generalization of the concept of Fourier series to non-periodic functions of which only a fragment has been sampled...
4 KB (530 words) - 21:20, 5 July 2023
In the mathematical discipline of functional analysis, the concept of a compact operator on Hilbert space is an extension of the concept of a matrix acting...
29 KB (4,841 words) - 12:50, 30 April 2024