Preprints of the St. Petersburg Mathematical Society

1999

1999-01
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