In mathematics, a Carleman matrix is a matrix used to convert function composition into matrix multiplication. It is often used in iteration theory to...

In mathematics, Carleman linearization (or Carleman embedding) is a technique to transform a finite-dimensional nonlinear dynamical system into an infinite-dimensional...

Torsten Carleman (8 July 1892, Visseltofta, Osby Municipality – 11 January 1949, Stockholm), born Tage Gillis Torsten Carleman, was a Swedish mathematician...

matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries...

In functional analysis, the Hilbert–Carleman determinant is an operator determinant for certain integral operators on Banach spaces, whose kernels are...

approximate the modes and eigenvalues of the composition operator. Carleman matrix Carleman linearization Composition ring Multiplication operator – unary...

of the solutions are furnished in terms of asymptotic series, cf. Carleman matrix. It is used to analyse discrete dynamical systems by finding a new...

(perturbative determination of the principal eigenfunction Ψ, cf. Carleman matrix) is equivalent to the algorithm of the preceding section, albeit, in...

polynomial functions. Composition operator Polynomial decomposition Carleman matrix Adler, Irving (1962), "Composition rings", Duke Mathematical Journal...

inequality Borell–Brascamp–Lieb inequality Brezis–Gallouet inequality Carleman's inequality Chebyshev–Markov–Stieltjes inequalities Chebyshev's sum inequality...

0 , 1 ) {\textstyle N(0,1)} in distribution. Carleman's condition Hamburger moment problem Hankel matrix Hausdorff moment problem Moment (mathematics)...

CDnn! (Reed & Simon 1975, p. 205). This follows from the more general Carleman's condition. There are examples where the solution is not unique; see e...

dissipative nonlinear ordinary differential equations. Liu et al. utilized Carleman linearization technique for second order equations and Lloyd et al. employed...

Danskin's theorem (convex analysis) Darboux's theorem (real analysis) Denjoy–Carleman theorem (functional analysis) Denjoy-Young-Saks theorem (real analysis)...

analysis: Sparse matrix Band matrix Bidiagonal matrix Tridiagonal matrix Pentadiagonal matrix Skyline matrix Circulant matrix Triangular matrix Diagonally dominant...

functions of random variables Moment problem Hamburger moment problem Carleman's condition Hausdorff moment problem Trigonometric moment problem Stieltjes...

There are several sufficient conditions for uniqueness, for example, Carleman's condition, which states that the solution is unique if ∑ n ≥ 1 m n − 1...

Science of Georgian SSR, Tbilisi, 1965 (Russian). Džanašija, G. A. (1962). "Carleman's problem for the class of Gevrey functions". Doklady Akademii Nauk SSSR...

envelopes problem Expected value / (12:DCR) Canonical correlation / (F:R) Carleman's condition / anl (1:R) Central moment / (1:R) Coefficient of variation /...