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• Keldysh theorem
  ...otential theory are theorems on the solvability of the [[Dirichlet problem|Dirichlet problem]], established by M.V. Keldysh in 1938–1941. such that the Dirichlet problem is solvable in $ D $
  6 KB (831 words) - 22:14, 5 June 2020
• Modulus of an annulus
  is the [[Dirichlet integral|Dirichlet integral]] of the real part of the function $ u $
  2 KB (374 words) - 08:01, 6 June 2020
• Dirichlet series
  $#C+1 = 131 : ~/encyclopedia/old_files/data/D032/D.0302920 Dirichlet series one obtains the so-called ordinary Dirichlet series
  11 KB (1,638 words) - 11:32, 16 April 2023
• Period of a function
  ...r on a plane, any number $T\ne0$ is a period; for the [[Dirichlet-function|Dirichlet function]]
  1 KB (227 words) - 21:30, 18 November 2017
• Jordan criterion
  ...ic series|Fourier series]] of piecewise monotone functions, is also called Dirichlet-Jordan test, cf. with {{Cite|Zy}}.
  1 KB (205 words) - 12:30, 27 September 2012
• Kellogg-Evans theorem
  ...$\mathbf{R}^n$, $n\ge 2$, with respect to a generalized solution of the [[Dirichlet problem]] for $D$ in the sense of Wiener–Perron (see [[Perron method]]) h ...TD valign="top"> M.V. Keldysh, "On the solvability and stability of the Dirichlet problem" ''Uspekhi Mat. Nauk'' , '''8''' (1941) pp. 171–231 (In Russi
  2 KB (245 words) - 16:25, 22 October 2017
• De la Vallée-Poussin criterion
  ...ronger than the [[Dini criterion|Dini criterion]], the [[Dirichlet theorem|Dirichlet criterion]], and the [[Jordan criterion|Jordan criterion]], it is weaker th
  1 KB (216 words) - 20:45, 16 October 2012
• Harmonic analysis
  ...s of one or more variables); almost-periodic functions; [[Dirichlet series|Dirichlet series]]; [[Approximation theory|approximation theory]] (of functions by tr
  2 KB (287 words) - 11:59, 27 September 2012
• First boundary value problem
  ...e Dirichlet data, and the problem (1), (2) is called a [[Dirichlet problem|Dirichlet problem]] if $ S = \partial D $. the first boundary value problem (the Dirichlet problem) consists in finding solutions to this equation subject to the cond
  7 KB (954 words) - 20:18, 10 January 2024
• Page theorem
  Page's theorem on the zeros of Dirichlet $L$-functions. ...,\chi)$ be a [[Dirichlet L-function]], $s = \sigma + i t$, with $\chi$ a [[Dirichlet character]] modulo $d$, $d \ge 3$. There are absolute positive constants $c
  3 KB (508 words) - 15:13, 3 July 2020
• Euler identity
  for the [[Dirichlet series|Dirichlet series]]
  2 KB (279 words) - 19:13, 14 December 2015
• Young criterion
  The Young's criterion is stronger than the [[Dirichlet theorem|Dirichlet criterion]], the [[Dini criterion]] and the [[Jordan criterion]], it is not
  2 KB (233 words) - 20:45, 16 October 2012
• Character of a group
  ...To a character $α: ℤ_k^* → T$ there corresponds the [[Dirichlet character|Dirichlet character]] $χ: ℤ → ℂ$ given by the formula
  3 KB (438 words) - 13:36, 23 July 2015
• Lebesgue criterion
  ...Cite|Zy}}. The Lebesgue criterion is stronger then the [[Dirichlet theorem|Dirichlet criterion]], the [[Jordan criterion|Jordan criterion]], the [[Dini criterio
  2 KB (235 words) - 11:59, 14 December 2012
• Regular boundary point
  of the [[Dirichlet problem|Dirichlet problem]] in the sense of Wiener–Perron (see [[Perron method|Perron metho is called regular with respect to the Dirichlet problem.
  5 KB (799 words) - 09:19, 6 January 2024
• Differential equation, partial, variational methods
  ...was discovered in mid-19th century as the so-called [[Dirichlet principle|Dirichlet principle]] of finding, in a domain $ G $, ...minimum of the [[Dirichlet integral|Dirichlet integral]]. Originally, the Dirichlet principle was used only in the theory of second-order linear elliptic equat
  7 KB (969 words) - 17:33, 5 June 2020
• Dirichlet process
  $#C+1 = 104 : ~/encyclopedia/old_files/data/D110/D.1100210 Dirichlet process ...tained in the collection of normal distributions. The large support of the Dirichlet process accounts for its use in non-parametric Bayesian analysis. General r
  11 KB (1,528 words) - 19:35, 5 June 2020
• Irregular boundary point
  ...solution (cf. [[Perron method|Perron method]]) of the [[Dirichlet problem|Dirichlet problem]], $ u ( x) $, axis (Lebesgue spine). The generalized solution of the Dirichlet problem does not take the boundary value $ f ( y _ {0} ) $
  3 KB (435 words) - 22:13, 5 June 2020
• Upper-and-lower-functions method
  ...ed in the work of G. Peano (1880). For the case of the [[Dirichlet problem|Dirichlet problem]] and for the case of the [[Laplace equation|Laplace equation]] the Let the Dirichlet problem be posed in a region $ G $
  6 KB (849 words) - 19:25, 11 January 2024
• Quadratic reciprocity law
  See also [[Quadratic residue|Quadratic residue]]; [[Dirichlet character|Dirichlet character]].
  2 KB (304 words) - 19:26, 14 August 2014

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