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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya

Funktsional. Anal. i Prilozhen., 1978, Volume 12, Issue 4, Pages 24–40 (Mi faa2025)

Summability of eigenfunction expansions of differential operators and convolution operators
A. G. Kostyuchenko, A. A. Shkalikov

References

1. Shkalikov A.A., “O polnote sobstvennykh i prisoedinennykh funktsii obyknovennogo differentsialnogo operatora s neregulyarnymi raspadayuschimisya kraevymi usloviyami”, Funkts. analiz, 10:4 (1976), 69–80  mathnet  mathscinet  zmath
2. Khromov A.P., Konechnomernye vozmuscheniya volterrovykh operatorov, Doktorskaya dissertatsiya, Novosibirsk, 1973
3. Khromov A.P., “Razlozhenie po sobstvennym funktsiyam obyknovennykh lineinykh differentsialnykh operatorov s neregulyarnymi raspadayuschimisya kraevymi usloviyami”, Matem. sb., 70 (1966), 310–329  mathnet
4. Naimark M.A., Lineinye differentsialnye operatory, Nauka, M., 1968  mathscinet
5. Khromov A.P., “O summirovanii razlozhenii po sobstvennym funktsiyam kraevoi zadachi dlya obyknovennogo differentsialnogo uravneniya s raspadayuschimisya kraevymi usloviyami i ob odnom analoge teoremy Veiershtrassa”, Obyknovennye differentsialnye uravneniya i razlozheniya v ryady Fure, Saratovskii un-t, 1968
6. Lidskii B.V., “O summiruemosti ryadov po glavnym vektoram nesamosopryazhennykh operatorov”, Trudy Mosk. matem. ob-va, XI, 1962, 3–35  mathnet  mathscinet
7. Paltsev B.V., “Asimptoticheskoe povedenie sobstvennykh znachenii integralnykh operatorov svertki na konechnom intervale s yadrami, preobrazovanie Fure kotorykh ratsionalny”, DAN SSSR, 194:4 (1970), 774–777  mathnet
8. Paltsev B.V., “Razlozhenie po sobstvennym funktsiyam integralnykh operatorov svertki na konechnom intervale s yadrami, preobrazovanie Fure kotorykh ratsionalny. «Slabo» nesamosopryazhennye regulyarnye yadra.”, Izv. AN SSSR, seriya matem., 36 (1972), 591–634  mathnet
9. Lyubarskii Yu.I., “Ob operatore svertki na konechnom intervale”, UMN, XXXI:3 (1976), 221  mathnet
10. Zigmund A., Trigonometricheskie ryady, v. 2, Mir, M., 1965  mathscinet
11. Levin B.Ya., Raspredelenie kornei tselykh funktsii, Gostekhizdat, M., 1956


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