Geodesic
Metric characteristics of closed plane curves with application
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 2, pp. 77-84

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The author introduces new metric characteristics of dimensional type for closed non-rectifiable curves in the complex plane and proves new conditions of solvability of certain boundary value problem for holomorphic functions in domains with non-rectifiable boundary. 
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     author = {B. A. Kats},
     title = {Metric characteristics of closed plane curves with application},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {77--84},
     publisher = {mathdoc},
     volume = {148},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a7/}
}
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B. A. Kats. Metric characteristics of closed plane curves with application. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 2, pp. 77-84. http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a7/