Integral transformations with kernels of Mittag-Leffler type in the classes $L_p(0,+\infty)$, $1$
Sbornik. Mathematics, Tome 57 (1987) no. 1, pp. 97-109 Cet article a éte moissonné depuis la source Math-Net.Ru

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Analogues of Titchmarsh's theorem for transforms with kernels of Mittag-Leffler type are established. Bibliography: 8 titles.
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V. M. Martirosyan. Integral transformations with kernels of Mittag-Leffler type in the classes $L_p(0,+\infty)$, $1
                      
                    

[1] Dzhrbashyan M. M., Integralnye preobrazovaniya i predstavleniya funktsii v kompleksnoi oblasti, Nauka, M., 1966

[2] Dzhrbashyan M. M., “Ob odnom novom integralnom preobrazovanii i ego primenenii v teorii tselykh funktsii”, DAN SSSR, 95:6 (1954), 1133–1136 ; Изв. АН СССР. Сер. матем., 19:2 (1955), 133–190 | Zbl | MR | Zbl

[3] Titchmarsh E., Vvedenie v teoriyu integralov Fure, Gostekhizdat, M.-L., 1948

[4] Zigmund A, Trigonometricheskie ryady, Mir, M., 1965 | MR

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[6] Martirosyan V. M., “Novoe dokazatelstvo teoremy M. M. Dzhrbashyana o parametricheskom predstavlenii obschikh klassov tselykh funktsii konechnogo poryadka”, Izv. AN ArmSSR. Matematika, 19:1 (1984), 44–74 | MR | Zbl

[7] Martirosyan V. M., “Zamykanie i bazisnost nekotorykh biortogonalnykh sistem i reshenie kratnoi interpolyatsionnoi zadachi v uglovykh oblastyakh”, Izv. AN ArmSSR., Matematika, 13:5–6 (1978), 490–531 | MR | Zbl

[8] Dzhrbashyan M. M., Avetisyan A. E., “Integralnye predstavleniya nekotorykh klassov funktsii, analiticheskikh v oblasti ugla”, Sib. matem. zhurn., 1:3 (1960), 383–426 ; ДАН СССР, 120:3 (1958), 457–460 | MR | Zbl | Zbl