Geodesic
Riesz summability of spectral expansions for finite-dimensional perturbations of a class of integral operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2001), pp. 38-50 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {Riesz summability of spectral expansions for finite-dimensional perturbations of a~class of integral operators},
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A. P. Gurevich; A. P. Khromov. Riesz summability of spectral expansions for finite-dimensional perturbations of a class of integral operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2001), pp. 38-50. http://geodesic.mathdoc.fr/item/IVM_2001_8_a4/

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

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

[3] Khromov A. P., “Razlozhenie po sobstvennym funktsiyam obyknovennykh lineinykh differentsialnykh operatorov na konechnom intervale”, DAN SSSR, 146:6 (1962), 1294–1297

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

[5] 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