Geodesic
Generalized integration over non-recifiable flat curves and boundary value problems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2023), pp. 17-38

Voir la notice de l'article provenant de la source Math-Net.Ru

The review discusses two closely related problems: the solution of the Riemann boundary value problem for analytic functions and some of their generalizations in areas of the complex plane with non-rectifiable boundaries, and the construction of a generalization of the curvilinear integral to non-rectifiable curves that preserves properties important for complex analysis. This work reflects the current state of the issue, and many of the results presented in it were obtained quite recently. At the end of the article, readers are offered a number of unsolved problems, each of which can serve as a starting point for scientific research.
Keywords: Riemann boundary-value problem, curvilinear integral.
Mots-clés : non-rectifiable curve 
@article{IVM_2023_12_a1,
     author = {D. B. Katz},
     title = {Generalized integration over non-recifiable flat curves and boundary value problems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {17--38},
     publisher = {mathdoc},
     number = {12},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_12_a1/}
}
TY  - JOUR
AU  - D. B. Katz
TI  - Generalized integration over non-recifiable flat curves and boundary value problems
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2023
SP  - 17
EP  - 38
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2023_12_a1/
LA  - ru
ID  - IVM_2023_12_a1
ER  - 
%0 Journal Article
%A D. B. Katz
%T Generalized integration over non-recifiable flat curves and boundary value problems
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2023
%P 17-38
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2023_12_a1/
%G ru
%F IVM_2023_12_a1
D. B. Katz. Generalized integration over non-recifiable flat curves and boundary value problems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2023), pp. 17-38. http://geodesic.mathdoc.fr/item/IVM_2023_12_a1/