Riesz summability of expansions in eigenfunctions of integral operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2003), pp. 24-35.

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A. P. Gurevich; A. P. Khromov. Riesz summability of expansions in eigenfunctions of integral operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2003), pp. 24-35. http://geodesic.mathdoc.fr/item/IVM_2003_2_a2/

[1] Khromov A. P., “Teoremy ravnoskhodimosti dlya integro-differentsialnykh i integralnykh operatorov”, Matem. sb., 114:3 (1981), 378–405 | MR | Zbl

[2] Naimark M. A., Lineinye differentsialnye operatory, Nauka, M., 1969, 526 pp. | MR

[3] Kaufmann F.-J., “Derived Birkhoff-series associated with $N(Y)=\lambda P(Y)$”, Results in Mathem., 15 (1989), 255–290 | MR | Zbl

[4] Stone M. H., “A comparison of the series of Fourier and Birkhoff”, Trans. Amer. Math. Soc., 28 (1926), 695–761 | DOI | MR

[5] Tikhomirov V. V., “O rissovskikh srednikh razlozhenii v trigonometricheskii ryad Fure i po sobstvennym funktsiyam puchka M. V. Keldysha obyknovennykh nesamosopryazhennykh differentsialnykh operatorov”, DAN SSSR, 226:5 (1976), 1015–1017 | MR | Zbl

[6] Tikhomirov V. V., “O srednikh Rissa razlozhenii po sobstvennym i prisoedinennym funktsiyam nesamosopryazhennogo obyknovennogo differentsialnogo operatora”, Matem. sb., 102:1 (1977), 33–55 | MR | Zbl

[7] Khromova G. V., “O regulyarizatsii integralnykh uravnenii pervogo roda s yadrom Grina”, Izv. vuzov. Matematika, 1972, no. 8, 94–104 | Zbl

[8] Kornev V. V., Khromov A. P., “O ravnoskhodimosti operatornykh razlozhenii samosopryazhennykh integralnykh operatorov”, Sovremen. metody v teorii kraevykh zadach, Tr. Voronezh. vesen. matem. shkoly “Pontryaginskie chteniya–XI”. Ch. II (Voronezh, 3–9 maya 2000), 73–82