''Self-Similar Systems",
Proceedings of the International Workshop (July 30 - August 7, 1998, Dubna, Russia). Edited by V.B. Priezzhev and V.P. Spiridonov (JINR, E5-99-38, Dubna, 1999), 404 pp. ISBN 5-85165-525-9 The price of the book is 30 USD including the
or by the postal address: Publishing Department,
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TABLE OF CONTENTS:
I. Wavelets and their applications
Torresani B., An overview of wavelet analysis and time-frequency
analysis (a minicourse), pp. 9-34
Arneodo A., Audit B., Bacry E., Manneville S., Muzy J.F., and Roux
S.G., Thermodynamics of fractal signals based on wavelet analysis:
application to fully developed turbulence data and DNA sequences}
(a minicourse), pp. 35-56
Andronov I.L., Wavelet analysis of the irregularly spaced time
series, pp. 57-70
Donovan G., Geronimo J.S., and Hardin D.P., Construction of
orthogonal multiwavelets using fractal interpolation functions, pp. 71-78
Farkov Yu.A., B-spline wavelets on the sphere, pp. 79-82
Jouault B., Schmiegel J., Greiner M., and Lipa M., Wavelet multiplier
correlations in turbulent cascades, pp. 83-87
Magaril-Il'yaev G.G. and Tikhomirov V.M., Wavelets and recovery
of smooth functions, pp. 88-97
Mhaskar H.N. and Prestin J., On a build-up polynomial frame
for the detection of singularities, pp. 98-109
Novikov I.Ya., Nonstationary orthonormal infinitely differentiable
compactly supported wavelets with uniformly bounded uncertainty constants,
pp. 110-115
Petukhov A.P., Trigonometric rational wavelet bases, pp. 116-119
Protasov V., Fractal curves and their applications to wavelets,
pp. 120-124
Skopina M., Localization principle for wavelet expansions, pp.
125-130
II. Self-structuring, quasicrystals, nonlinear equations
Iserles A., Lie groups and the computation of invariants
(a minicourse), pp. 133-148
Ananikian N.S., Dallakian S.K., Hu B., Izmailian N.Sh., and
Oganessyan K.A., Chaos in the Z(2) gauge model on a generalized Bethe lattice
of plaquettes, pp. 149-155
Godreche C., Statistics of persistent events: from random walks
to phase ordering, pp. 156-177
Loutsenko I. and Spiridonov V., Spectral self-similarity and
one-dimensional Ising chains, pp. 178-188
Masakova Z. and Pelantova E., Quasicrystals, tilings, and scaling
symmetries, pp. 189-202
Mel'nikov V.K., Structure of periodic solutions and the problem
of existence of an additional first integral in Hamiltonian
systems with two degrees of freedom, pp. 203-218
Novokshenov V.Yu., Localized solutions of the Painleve
equations, pp. 219-226
Olafsson S., Long range correlations in network traffic: Implications
for the utilisation of network resources, pp. 227-236
Sharkovsky A.N., Romanenko E.Yu., and Vereikina M.B., Self-structuring
and self-stochasticity in difference equations and some boundary value
problems, pp. 237-250
Sharkovsky A.N. and Berezovsky S.A., Computer turbulence, pp.
251-259
Verger-Gaugry J.-L., Mathematical quasicrystals with toric internal
spaces, pp. 260-270
III. Orthogonal polynomials and special functions
Ya.L. Geronimus centenary session
Golinskii L., On the scientific legacy of Ya.L. Geronimus (to
the hundredth anniversary, pp. 273-281
Andrievskii V.V. and Blatt H.-P., Local discrepancy theorems
for the distribution of zeros of polynomials, pp. 282-288
Aptekarev A.I. and Kaliaguine V.A., On a generalization of the
nonlinear Lengmuir chains, pp. 289-294
Bangerezako G. and Magnus A.P., The factorization method
for the semi-classical polynomials, pp. 295-300
Belogrudov A., Semi-classical orthogonal polynomials and integrable
chains, pp. 301-305
Mantica G., Generalized Bessel functions: theoretical relevance,
and computational techniques, pp. 306-315
Marcellan F. and Petronilho J., Orthogonal polynomials
and polynomial mappings on the unit circle, pp. 316-326
Nikiforov A. and Skachkov M., Methods for computing the Hahn
polynomials, pp. 327-331
Osilenker B.P., Generalized trace formula for symmetric Legendre-Sobolev
orthogonal polynomials, pp. 332-334
Rodriguez J.M., Alvarez V., Romera E., and Pestana D., Generalized
weighted Sobolev spaces, pp. 335-348
Spiridonov V. and Zhedanov A., Self-similarity, spectral transformations
and orthogonal and biorthogonal polynomials, pp. 349-361
Stahl H., Rational best approximants in the Hardy space H^2,
pp. 362-383
Steinbauer R., Considerations on Schur parameters with constant
blocks, pp. 384-389
Suetin P.K., Classical orthogonal polynomials in the theory
of Schrodinger equation, pp. 390-391
Van Assche W., Zero distribution of orthogonal polynomials with
asymptotically periodic varying recurrence coefficients, pp. 392-402