Preprints of the St. Petersburg Mathematical Society

2009


2009-01
Author: Solovyeva, N. A.
Title: Special tight frames
Comments: Russian, 8 pp.
Subj-class: 42C15, Secondary: 42C99
Submitted: 20.01.2009
Abstract, PostScript (gzipped, 188 Kb)
2009-02
Author: Reinov, O. I.
Title: Approximation Properties: Topological Aspect (With Application to a Grothendieck Conjecture)
Comments: AMSTeX, English, 18 pp.
Subj-class: 46B28
Submitted: 01.02.2009
Abstract, AMSTeX (51 Kb), PostScript (gzipped, 180 Kb)
2009-03
Author: Reinov, O. I.
Title: Nonequivalent Banach norms on the same linear space
Comments: LaTeX, Russian, 2 pp.
Subj-class: 46B03
Submitted: 11.02.2009
Abstract, LaTeX (6 Kb), PostScript (gzipped, 43 Kb)
2009-04
Authors: Henze, Norbert; Nikitin, Ya. Yu.; Ebner, Bruno
Title: Integral distribution-free statistics of $L_p$-type and their asymptotic comparison
Comments: English, 22 pp.
The paper is accepted by the journal Computational Statistics and Data Analysis (Elsevier).
Subj-class: 62G10, Secondary: 60F25
Submitted: 13.03.2009
Abstract, PostScript (gzipped, 248 Kb)
2009-05
Authors: Nazarov, A. I.; Ural'tseva, N. N.
Title: Qualitative properties of solutions to elliptic and parabolic equations with unbounded lower-order coefficients
Comments: English, 6 pp.
Subj-class: 35B50, Secondary: 35J15, 35K10
Submitted: 25.03.2009
Abstract, PostScript (gzipped, 102 Kb)
2009-06
Authors: Nazarov, A. I.; Reznikov, A. B.
Title: On the existence of an extremal function in critical Sobolev trace embedding theorem
Comments: English, 15 pp.
Subj-class: 49J10, Secondary: 35J20
Submitted: 25.04.2009
Abstract, PostScript (gzipped, 161 Kb)
2009-07
Authors: Nazarov, A. I.; Reznikov, A. B.
Title: Attainability of infima in the critical Sobolev trace embedding theorem on manifolds
Comments: English, 15 pp.
Subj-class: 49J10, Secondary: 35J20
Submitted: 01.07.2009
Abstract, LaTeX (56 Kb), PostScript (gzipped, 158 Kb)
2009-08
Author: Chashnikov, N. V.
Title: Limit curves for discrete periodic splines
Comments: Russian, 9 pp.
Subj-class: 42C20, Secondary: 65D07
Submitted: 24.09.2009
Abstract, LaTeX (gzipped, 50 Kb), PostScript (gzipped, 304 Kb)
2009-09
Author: Chashnikov, N. V.
Title: Discrete periodic analogue of Hermite spline interpolation
Comments: Russian, 9 pp.
Subj-class: 42C20
Submitted: 30.09.2009
Abstract, LaTeX (gzipped, 20 Kb), PostScript (gzipped, 181 Kb)
2009-10
Authors: Malozemov, V. N.; Solovyeva, N. A.
Title: The Mercedes-Benz frame cyclic property
Comments: Russian, 6 pp.
Subj-class: 42C15, Secondary: 42C99
Submitted: 04.10.2009
Abstract, LaTeX (gzipped, 10 Kb), PostScript (gzipped, 215 Kb)
2009-11
Author: Chashnikov, N. V.
Title: Limit curves for discrete periodic analogue of Hermite spline interpolation
Comments: Russian, 14 pp.
Subj-class: 42C20, Secondary: 65D07
Submitted: 19.10.2009
Abstract, LaTeX (gzipped, 20 Kb), PostScript (gzipped, 273 Kb)

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