Preprints of the St. Petersburg Mathematical Society
19991999-01 Author:Petukhov, A. P. Title: Biorthogonal wavelet bases with rational masks and their application Comments: AmSTeX, English (22 pp.), Russian (24 pp.) Subj-class:65D15, Secondary: 65Y25, 68Q25 Submitted: 03.02.1999 Abstract, English version: TeX (75 Kb), PostScript (gzipped, 86 Kb); Russian version: TeX (73 Kb), PostScript (gzipped, 104 Kb) Published in: Trudy SPb matem. obschestva. Vol. 7. 1999. P. 168–193 (in Russian). 1999-02 Authors:Bagdonavicius, V. B.; Nikulin, M. S. Title:On parametric inference for step-stress models Comments: LaTeX, English (8 pp.) Subj-class: Submitted: 17.02.1999 Abstract, TeX (20 Kb), PostScript (gzipped, 36 Kb) 1999-03 Author:Chistov, A. L. Title:Polynomial-time computation of the degree of algebraic varieties in zero-characteristic and its applications Comments: LaTeX, English (45 pp.) Subj-class:14Q15 Submitted: 26.02.1999; Updated: 06.12.1999 Abstract, TeX (131 Kb), PostScript (gzipped, 139 Kb) 1999-04 Authors: Malozemov, V. N.; Masharsky, S. M. Title:Comparative study of two wavelet bases Comments: LaTeX, Russian (14 pp., 2 pictures, 1 table) Subj-class:42C10 Submitted: 26.02.1999 Abstract, PostScript (gzipped, 53 Kb) Published in: Problemy peredachi informatsii. 2000. Vol. 36. No. 2. P. 27–37 (in Russian). Translated in: Probl. Inform. Trans. 2000. Vol. 36. No. 2. P. 114–124. 1999-05 Author: Reinov, O. I. Title: On continuity of scales of some operator ideals. I. Comments: AmSTeX, Russian (20 pp.) Subj-class:47B10 Submitted: 06.03.1999 Abstract, TeX (61 Kb), PostScript (gzipped, 53 Kb) 1999-06 Authors: Malozemov, V. N.; Masharsky, S. M. Title:Haar spectra of discrete convolutions Comments: LaTeX, Russian (10 pp.) Subj-class:42C10 Submitted: 06.04.1999 Abstract, PostScript (gzipped, 39 Kb) Published in: Zh. vychisl. mat. i matem. fiz. 2000. Vol. 40. No. 6. P. 954–960 (in Russian). Translated in: Comp. Math. and Mathem. Phys. 2000. Vol. 40. No. 6. P. 914–921. 1999-07 Authors: Golyandina, N; Nekrutkin, V. Title: Estimation errors for functionals on measure spaces Comments: LaTeX, English (20 pp.) Also submitted to: Stochastic simulation methods, Eds. N. Balakrishnan, S.M. Ermakov and V.B. Melas, Birkhauser, Boston. Subj-class:65C05 Submitted: 30.03.1999 Abstract, TeX (.tar.gz, 14 Kb), PostScript (gzipped, 64 Kb) 1999-08 Author:Chistov, A. L. Title:Efficient construction of local parameters of irreducible components of an algebraic variety Comments: LaTeX, English, Russian (32 pp.) To be published in the Proceedings of the St. Petersburg Mathematical Society Subj-class:14Q15 Submitted: 31.03.1999; Updated: 08.06.1999 and 06.12.1999 Abstract, English version: TeX (gzipped, 28 Kb), PostScript (gzipped, 123 Kb);
Russian version: TeX (gzipped, 31 Kb), PostScript (gzipped, 141 Kb) 1999-09 Authors: Malozemov, V. N.; Sergeev, A. N. Title:Discrete nonperiodic splines on a uniform grid Comments: LaTeX, Russian (16 pages, 3 pictures) Subj-class:65D07 Submitted: 06.04.1999 Abstract, PostScript (gzipped, 39 Kb) Published in: Trudy SPb matem. obschestva. Vol. 8. 2000. P. 199–213 (in Russian). 1999-10 Author:Chistov, A. L. Title:Strong version of the basic deciding algorithm for the existential theory of real fields Comments: LaTeX, English, Russian (32 pp.) Also to be submitted to Zapiski Nauchnych Semin. POMI Subj-class:14Q15 Submitted: 06.04.1999; Updated: 06.12.1999 Abstract, English version: TeX (gzipped, 29 Kb), PostScript (gzipped, 122 Kb); Russian version: TeX (gzipped, 32 Kb), PostScript (gzipped, 139 Kb) 1999-11 Author:Chistov, A. L. Title:Efficient smooth stratification of an algebraic variety in zero-characteristic and its applications Comments: LaTeX2e, English (40 pp), Russian (44 pp.) Subj-class:14Q15 Submitted: 13.04.1999; Updated: 08.06.1999 and 06.12.1999 Abstract, English version: TeX (gzipped, 34 Kb), PostScript (gzipped, 135 Kb); Russian version: TeX (gzipped, 38 Kb), PostScript (gzipped, 159 Kb) 1999-12 Authors:Tsilevich, N.; Vershik, A.; Yor, M. Title:Quasi-invariance of the gamma process and multiplicative properties of the Poisson–Dirichlet measures Comments: AmSTeX, English (8 pp) Subj-class: Submitted: 14.04.1999 Abstract, TeX (27 Kb), PostScript (gzipped, 47 Kb) Published in: C. R. Acad. Sci. Paris. Sér. I Math. 329 (1999), no. 2, 163–168. 1999-13 Authors:Golyandina, N; Nekrutkin, V. Title:Homogeneous balance equations for measures: errors of the stochastic solution Comments: LaTeX, English (66 pp) Subj-class:65C05, Secondary: 82C80, 76P05, 34G20 Submitted: 23.06.1999 Abstract, TeX (.tar.gz, 61 Kb), PostScript (gzipped, 195 Kb) 1999-14 Author:Reinov, O. I. Title:Aproximation properties $AP_s$ and $p$-nuclear operators (the case $0<s \le 1$) Comments: AmSTeX, Russian (16 pp.) Subj-class:47B10 Submitted: 25.06.1999 Abstract, TeX (45 Kb), PostScript (gzipped, 68 Kb) 1999-15 Author:Reinov, O. I. Title:On factorization of operators through the spaces $l^p$ Comments: AmSTeX, Russian (8 pp.) Subj-class:47B10 Submitted: 02.07.1999 Abstract, TeX (24 Kb), PostScript (gzipped, 45 Kb) 1999-16 Author:Reinov, O. I. Title:A Banach lattice with AP and without BAP Comments: AmSTeX, Russian (9 pp.) Subj-class:47B10 Submitted: 09.07.1999 Abstract, TeX (29 Kb), PostScript (gzipped, 48 Kb) 1999-17 Author:Vershik, A. M. Title:Numerical characteristics of groups, and their interrelations Comments: LaTeX, Russian (13 pp.); AmS-TeX, English (10 pp). Subj-class:20F05, Secondary: 20P05 Submitted: 14.07.1999 Abstract, Russian version: TeX (32 Kb), PostScript (gzipped, 59 Kb) English version: TeX (31 Kb), PostScript (gzipped, 40 Kb) 1999-18 Authors: Malozemov, V. N.; Shemiakina, I. V. Title:Maximization of the Vandermonde determinant and the Laguerre polynomials Comments: AmSTeX, Russian (15 pages) Subj-class:90C30, Secondary:33C45 Submitted: 13.09.1999 Abstract, PostScript (gzipped, 50 Kb) Published in: Metody vychislenii. Vol. 19. Izd. SPbGU. 2001. P. 140–153 (in Russian). 1999-19 Author: Reinov, O. I. Title: On linear operators with $p$-nuclear adjoints Comments: AmSTeX, Russian (6 pp.) Subj-class:47B10 Submitted: 31.10.1999 Abstract, TeX (19 Kb), PostScript (gzipped, 41 Kb) 1999-20 Authors: Kirushev, V. A.; Malozemov, V. N.; Pevnyi, A. B. Title: Wavelet decomposition of the discrete periodic spline space Comments: LaTeX 2.09, Russian (13 pp.), 1 picture Subj-class:42C10 Submitted: 09.11.1999 Abstract, PostScript (gzipped, 51 Kb) Published in: Matem. zametki. 2000. Vol. 67. No. 5. P. 712–720 (in Russian). 1999-21 Authors: Malozemov, V. N.; Masharsky, S. M. Title: Generalised wavelet bases related with discrete Vilenkin–Chrestenson transform Comments: LaTeX 2.09, Russian (49 pp., 2 pictures, 1 table) Submitted: 09.11.1999; Updated: 17.08.2000 Subj-class:42C10 Abstract, PostScript (gzipped, 120 Kb) Published in: Algebra i analiz. 2001. Vol. 13. No. 1. P. 111–157 (in Russian). Translated in: St. Petersburg Math. J. 2002. Vol. 13. No. 1. P. 75–106. Back to the main page