Geodesic
Eigenvalue asymptotics of the problem of high odd order with dicrete self-similar weight
Algebra i analiz, Tome 24 (2012) no. 2, pp. 104-119.

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A. A. Vladimirov; I. A. Shejpak. Eigenvalue asymptotics of the problem of high odd order with dicrete self-similar weight. Algebra i analiz, Tome 24 (2012) no. 2, pp. 104-119. http://geodesic.mathdoc.fr/item/AA_2012_24_2_a1/

[1] Vladimirov A. A., Sheipak I. A., “Asimptotika sobstvennykh znachenii zadachi Shturma–Liuvillya s diskretnym samopodobnym vesom”, Mat. zametki, 88:5 (2010), 662–672 | MR | Zbl

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

[3] Nazarov A. I., “Logarifmicheskaya asimptotika malykh uklonenii dlya nekotorykh gaussovskikh protsessov v $L_2$-norme otnositelno samopodobnoi mery”, Zap. nauch. semin. POMI, 311, 2004, 190–213 | MR | Zbl

[4] Solomyak M., Verbitsky E., “On a spectral problem related to self-similar measures”, Bull. London Math. Soc., 27 (1995), 242–248 | DOI | MR | Zbl

[5] Vladimirov A. A., Sheipak I. A., “Samopodobnye funktsii v prostranstve $L_2[0,1]$ i zadacha Shturma–Liuvillya s singulyarnym indefinitnym vesom”, Mat. sb., 197:11 (2006), 13–30 | MR | Zbl

[6] Nazarov A. I., Sheipak I. A., Degenerate self-similar measures, spectral asymptotics and small derivations of Gaussian processes, arXiv: 1009.1252

[7] Sheipak I. A., “O konstruktsii i nekotorykh svoistvakh samopodobnykh funktsii v prostranstvakh $L_p[0,1]$”, Mat. zametki, 81:6 (2007), 924–938 | MR | Zbl

[8] Sheipak I. A., “Osobye tochki samopodobnoi funktsii nulevogo spektralnogo poryadka. Samopodobnaya struna Stiltesa”, Mat. zametki, 88:2 (2010), 303–316 | MR | Zbl

[9] Lancaster P., Shkalikov A., Ye Qiang, “Strongly definitizable linear pencils in Hilbert space”, Integral Equations Operator Theory, 17 (1993), 338–360 | DOI | MR | Zbl

[10] Vladimirov A. A., “Otsenki chisla sobstvennykh znachenii samosopryazhënnykh operator-funktsii”, Mat. zametki, 74:6 (2003), 838–847 | MR | Zbl

[11] Vladimirov A. A., “O vychislenii sobstvennykh znachenii zadachi Shturma–Liuvillya s fraktalnym indefinitnym vesom”, Zh. vychisl. mat. i mat. fiz., 47:8 (2007), 1350–1355 | MR

[12] Shanin N. A., “Konstruktivnye veschestvennye chisla i konstruktivnye funktsionalnye prostranstva”, Tr. Mat. in-ta AN SSSR, 67, 1962, 15–294 | MR | Zbl

[13] Kushner B. A., Lektsii po konstruktivnomu matematicheskomu analizu, Nauka, M., 1973 | MR