Cross theorem for separately real-analytic functions Cross theorem for separately real-analytic functions

The present work is devoted to the study of R -analyticity with respect to the set of variables of separately R -analytic functions. In the paper, it is proved real analyticity with respect to the set of variables, out of some pluripolar set, of the separately R -analytic functions.

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Bibliographic Details
Published in:	The Journal of Analysis Vol. 33; no. 5; pp. 2413 - 2420
Main Authors:	Alimardon, Atamuratov, Kamol, Rasulov
Format:	Journal Article
Language:	English
Published:	Singapore Springer Nature Singapore 01.10.2025 Springer Nature B.V
Subjects:	Abstract Harmonic Analysis Analysis Fourier Analysis Functional Analysis Mathematics Mathematics and Statistics Measure and Integration Neighborhoods Original Research Paper Special Functions Variables 32D10 measure analytic function 32A10 26E05 Pluripolar set 32U35 Regular point
ISSN:	0971-3611, 2367-2501
Online Access:	Get full text
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