Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_2000_6_a2, author = {A. V. Putilina}, title = {Asymptotics of the volume function for the set of lesser values of a~polynomial in~$\mathbb R^n$}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {16--23}, publisher = {mathdoc}, number = {6}, year = {2000}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2000_6_a2/} }
TY - JOUR AU - A. V. Putilina TI - Asymptotics of the volume function for the set of lesser values of a~polynomial in~$\mathbb R^n$ JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2000 SP - 16 EP - 23 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2000_6_a2/ LA - ru ID - IVM_2000_6_a2 ER -
A. V. Putilina. Asymptotics of the volume function for the set of lesser values of a~polynomial in~$\mathbb R^n$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2000), pp. 16-23. http://geodesic.mathdoc.fr/item/IVM_2000_6_a2/
[1] Arnold V. I., Varchenko A. N., Gusein-Zade S. M., Osobennosti differentsiruemykh otobrazhenii. (Monodromiya i asimptotiki integralov), Nauka, M., 1989, 335 pp. | MR
[2] Tsikh A. K., “Integraly ratsionalnykh funktsii po prostranstvu $\mathbb{R}^n$”, DAN SSSR, 307:6 (1989), 1325–1329
[3] Ermolaeva T. O., Tsikh A. K., “Integrirovanie ratsionalnykh funktsii po $\mathbb{R}^n$ s pomoschyu toricheskikh kompaktifikatsii i mnogomernykh vychetov”, Matem. sb., 187:9 (1996), 45–64 | MR | Zbl
[4] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, 3-e izd., T. III, Fizmatgiz, M., 1960, 656 pp.
[5] Chebotarev N. G., Teoriya algebraicheskikh funktsii, GITTL, M.–L., 1948, 369 pp.
[6] Alyakrinskii A. A., Tsikh A. K., “Integrirovanie nekotorykh ratsionalnykh funktsii po $\mathbb{R}^n$”, Kompleksn. analiz i differents. uravneniya, Krasnoyarsk, 1996, 3–15 | MR
[7] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, 4-e izd., Nauka, M., 1962, 1100 pp.