...erator and in the study of its spectrum, which, in this case, has a number of ‘good’ properties.
Examples of compact operators are the Fredholm [[Integral operator|integral operator]]
2 KB (399 words) - 05:44, 7 December 2016
$#A+1 = 17 n = 0
A [[Linear operator|linear operator]] $ A $
3 KB (375 words) - 08:13, 6 June 2020
$#A+1 = 220 n = 0
$#C+1 = 220 : ~/encyclopedia/old_files/data/S086/S.0806520 Spectral theory
24 KB (3,593 words) - 18:51, 13 January 2024
$#A+1 = 71 n = 4
...m from the [[Stable homotopy group|stable homotopy group]] of the spectrum of $ \mathop{\rm SO} $
9 KB (1,201 words) - 20:31, 16 January 2024
A system with one degree of freedom whose oscillations are described by the equation
...$T=2\pi/\omega$, does not depend on the amplitude. The potential energy of a harmonic oscillator depends quadratically on $x$:
2 KB (359 words) - 11:41, 3 August 2014
$#A+1 = 270 n = 2
$#C+1 = 270 : ~/encyclopedia/old_files/data/S086/S.0806530 Spectral theory of differential operators
32 KB (4,393 words) - 08:22, 6 June 2020
$#A+1 = 332 n = 0
$#C+1 = 332 : ~/encyclopedia/old_files/data/Q076/Q.0706250 Qualitative theory of differential equations in Banach spaces
26 KB (3,943 words) - 20:22, 16 January 2024
Out of 100 formulas, 100 were replaced by TEX code.-->
...the subspace corresponding to the continuous spectrum into itself, and, as a consequence, the model becomes solvable in the sense described below.
16 KB (2,493 words) - 16:55, 1 July 2020
Out of 196 formulas, 195 were replaced by TEX code.-->
...lf-adjoint representations of Lie algebras (or non-unitary representations of discrete groups).
24 KB (3,136 words) - 20:00, 24 November 2023
...clopediaofmath.org/legacyimages/l/l059/l059340/l0593404.png" />, is called
a linear operator from <img align="absmiddle" border="0" src="https://www.enc
...ce is fundamental in linear algebra, plays
a role in very diverse branches
of mathematics and physics, above all in analysis and its applications.
67 KB (9,247 words) - 17:12, 29 October 2017
''of a topological space''
...ra are mapped into arbitrary spaces, while the latter is based on mappings of arbitrary spaces into polyhedra, and is especially useful whenever the appl
9 KB (1,350 words) - 11:39, 25 October 2014
$#A+1 = 86 n = 0
.... de Vries [[#References|[1]]] to describe wave propagation on the surface of shallow water. It can be interpreted using the inverse-scattering method, w
14 KB (2,037 words) - 20:24, 16 January 2024
$#A+1 = 43 n = 0
''of a linear (dissipative) operator $ A $
3 KB (453 words) - 20:40, 16 January 2024
Out of 95 formulas, 95 were replaced by TEX code.-->
...ntation]] on Bergman space, cf. also [[Bergman spaces|Bergman spaces]], is of special interest in [[Harmonic analysis|harmonic analysis]]).
10 KB (1,477 words) - 06:10, 26 March 2024
$#A+1 = 51 n = 0
$#C+1 = 51 : ~/encyclopedia/old_files/data/R081/R.0801590 Resolution of the identity
4 KB (554 words) - 08:11, 6 June 2020
$#A+1 = 27 n = 0
''of eigen values''
3 KB (460 words) - 08:00, 6 June 2020
$#A+1 = 30 n = 0
defined on the (closed) [[Linear closure|linear span]] of a basis $ \{ e _ {k} \} _ {k \geq 1 } $
3 KB (457 words) - 19:55, 27 February 2021
$#A+1 = 101 n = 2
...nce of restrictions imposed on the dimensions of spaces) for the analogues of ordinary homotopy and cohomotopy groups in the suspension category — for
11 KB (1,442 words) - 13:45, 8 June 2020
A second-order linear ordinary differential equation
...ume complex values. The substitution $y=ux^{-1/2}$ yields the reduced form of equation \eqref{(1)}:
7 KB (1,130 words) - 20:00, 22 March 2024
$#A+1 = 29 n = 0
A compact invariant set $ L $
10 KB (1,485 words) - 04:11, 6 June 2020