Names such as Carleman inequality, Carleman theorems (Denjoy -Carleman theorem on quasi-analytic classes of functions, Carleman theorem on conditions of well-definedness of moment problems, Carleman theorem on uniform approximation by entire functions, Carleman theorem on approximation of analytic functions by polynomials in the mean), Carleman singularity of orthogonal system, integral equation of Carleman type, Carleman operator, Carleman kernel, Carleman method of reducing an integral equation to a boundary value problem in the theory of analytic functions, Jensen-Carleman formula in complex analysis, Carleman continuum, Carleman linearization or Carleman embedding technique, Carleman polynomials, Carleman estimate in the unique continuation problem for solutions of partial differential equations and Carleman system in the kinetic theory of gas are well-known in mathematics (see, and [9, Th. XII.17],,).
Pangalan tulad ng Carleman hindi pagkakapareho, Carleman theorems (Denjoy-Carleman teorama sa parang-analytic klase ng pag-andar, Carleman teorama sa mga kondisyon ng mga well-definedness sandali ng mga problema, Carleman teorama sa unipormeng approximation ng buong pag-andar, Carleman teorama sa approximation ng analytic function sa pamamagitan ng polynomials sa ang ibig sabihin), Carleman kahiwagaan ng orthogonal system, kailangan equation ng Carleman uri, Carleman operator, Carleman kernel, Carleman paraan ng pagbabawas ng isang equation na mahalaga sa isang hangganan ang halaga ng problema sa teorya ng analytic function, Jensen-Carleman formula sa mga komplikadong pagtatasa, Carleman continuum, Carleman linearization o Carleman-embed ng diskarteng, Carleman polynomials, Carleman estimate sa pagpapatuloy ng mga natatanging solusyon para sa problema ng mga bahagi ng kaugalian equation at Carleman sistema sa kinetiko teorya ng gas ay kilala sa matematika (makita, at [9, Th . XII.17],,).