Abstract:
For the subject in question, the paper describes its connections that are close to the author's interests with branches of functional analysis. The present survey may be suitable as a basis for a special course.
Citation:
E. A. Gorin, “Positive definite functions as an instrument of mathematical analysis”, Fundam. Prikl. Mat., 17:7 (2012), 67–95; J. Math. Sci., 197:4 (2014), 492–511
This publication is cited in the following 6 articles:
Anselmo Torresblanca-Badillo, Edilberto Arroyo-Ortiz, Ronald Barrios-Garizao, “Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups”, J. Pseudo-Differ. Oper. Appl., 15:3 (2024)
V. P. Zastavnyi, “Inequalities for Positive Definite Functions”, Math. Notes, 108:6 (2020), 791–801
A. B. Pevnyi, S. M. Sitnik, “Obobscheniya neravenstv M. G. Kreina, E. A. Gorina i Yu. V. Linnika dlya polozhitelno opredelennykh funktsii na mnogotochechnyi sluchai”, Sib. elektron. matem. izv., 16 (2019), 263–270
Yu. A. Brudnyi, M. G. Zaidenberg, A. L. Koldobskii, V. Ya. Lin, B. S. Mityagin, S. Norvidas, E. M. Semenov, P. V. Semenov, “Evgenii Alekseevich Gorin (obituary)”, Russian Math. Surveys, 74:5 (2019), 935–946
V. P. Zastavnyi, A. D. Manov, “On the Positive Definiteness of Some Functions Related to the Schoenberg Problem”, Math. Notes, 102:3 (2017), 325–337
E. A. Gorin, “Inequalities for Positive-Definite Functions”, Funct. Anal. Appl., 49:4 (2015), 301–303
Citation in format AMSBIB
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