Geodesic
On the Titchmarsh Convolution Theorem for Distributions on the Circle
Funkcionalʹnyj analiz i ego priloženiâ, Tome 47 (2013) no. 1, pp. 26-32

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We prove a version of the Titchmarsh convolution theorem for distributions on the circle. We show that a certain “naïve” form of the Titchmarsh theorem can be violated, but only for the convolution of distributions with certain symmetry properties.
Keywords: Titchmarsh convolution theorem, symmetry properties, periodic distributions. 
@article{FAA_2013_47_1_a2,
     author = {A. A. Komech and A. I. Komech},
     title = {On the {Titchmarsh} {Convolution} {Theorem} for {Distributions} on the {Circle}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {26--32},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2013_47_1_a2/}
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A. A. Komech; A. I. Komech. On the Titchmarsh Convolution Theorem for Distributions on the Circle. Funkcionalʹnyj analiz i ego priloženiâ, Tome 47 (2013) no. 1, pp. 26-32. http://geodesic.mathdoc.fr/item/FAA_2013_47_1_a2/