Voir la notice de l'article provenant de la source Math-Net.Ru
@article{VSGTU_2007_2_a22, author = {A. S. Tsareva}, title = {Sufficient condition of {Hilbertness} of some eigenfunctions systems of the second order differential operator}, journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences}, pages = {158--161}, publisher = {mathdoc}, number = {2}, year = {2007}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a22/} }
TY - JOUR AU - A. S. Tsareva TI - Sufficient condition of Hilbertness of some eigenfunctions systems of the second order differential operator JO - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences PY - 2007 SP - 158 EP - 161 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a22/ LA - ru ID - VSGTU_2007_2_a22 ER -
%0 Journal Article %A A. S. Tsareva %T Sufficient condition of Hilbertness of some eigenfunctions systems of the second order differential operator %J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences %D 2007 %P 158-161 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a22/ %G ru %F VSGTU_2007_2_a22
A. S. Tsareva. Sufficient condition of Hilbertness of some eigenfunctions systems of the second order differential operator. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 158-161. http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a22/
[1] Bari N. K., “Biortogonalnye sistemy i bazisy v gilbertovom prostranstve”, Matematika, Tom IV, Uch. zap. MGU, 148, 1951, 69–107 | MR
[2] Ilin V. A., “Neobkhodimye i dostatochnye usloviya bazisnosti i ravnoskhodimosti s trigonometricheskim ryadom spektralnykh razlozhenii”, Differents. uravneniya, 16:5 (1980), 771–794 | MR
[3] Ilin V. A., “Neravenstvo tipa Gilberta po sisteme sobstvennykh funktsii operatora Laplasa dlya radialnoi funktsii, otlichnoi ot nulya v share dostatochno malogo radiusa”, Dokl. AN SSSR, 291:6 (1986), 1292–1296 | MR
[4] Budaev V. D., “O neravenstvakh Gilberta i Besselya dlya nekotorykh vozmuschënnykh sistem funktsii”, Polianaliticheskie funktsii: granichnye svoistva i kraevye zadachi, Mezhvuz. sb. nauch. tr., SGPI, Smolensk, 1997, 100–107
[5] Malov A. A., “Dostatochnye usloviya vypolneniya neravenstva tipa Gilberta po sisteme kornevykh funktsii obyknovennogo differentsialnogo operatora vtorogo poryadka”, Differents. uravneniya, 30:2 (1994), 197–203 | MR | Zbl
[6] Budaev V. D., Bezuslovnaya bazisnost sistem kornevykh funktsii obyknovennykh differentsialnykh operatorov, Dis. ... d-ra. fiz.-mat. nauk. 01.02.04, MGU, M., 1993
[7] Tikhomirov V. V., “Tochnye otsenki regulyarnogo resheniya odnomernogo uravneniya Shredingera so spektralnym parametrom”, Dokl. AN SSSR, 273:4 (1983), 807–810 | MR | Zbl
[8] Tikhomirov V. V., “Tochnye otsenki sobstvennykh funktsii proizvolnogo nesamosopryazhennogo operatora Shredingera”, Differents. uravneniya, 19:8 (1983), 1378–1385 | MR | Zbl
[9] Tsareva A. S., “Nekotorye otsenki norm kornevykh funktsii differentsialnogo operatora vtorogo poryadka”, Issledovaniya po kraevym zadacham kompleksnogo analiza i differentsialnym uravneniyam, Mezhvuz. sb. nauch. tr., 7, SmolGU, Smolensk, 2006, 106–116
[10] Bilalov B. T., Bazisnye svoistva sistem sobstvennykh funktsii nekotorykh differentsialnykh operatorov i ikh obobschenie, Dis. ... d-ra. fiz.-mat. nauk. 01.02.04, MGU, M., 1995