Petersburg Department
of Steklov Institute of Mathematics
PREPRINTS 2013
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Vadim Gorin, Sergei Kerov, Anatoly Vershik
FINITE TRACES AND REPRESENTATIONS OF THE GROUP
OF INFINITE MATRICES OVER A FINITE FIELD
(á .í. ÷ÅÒÛÉË, ÷. å. çÏÒÉÎ, ó. ÷. ëÅÒÏ×. ëïîåþîùå óìåäù é ðòåäóôá÷ìåîéñ çòõððù âåóëïîåþîùè íáôòéã
îáä ëïîåþîùí ðïìåí
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A. M. Vershik
SMOOTH AND NON-SMOOTH $AF$-ALGEBRAS
AND PROBLEM ON INVARIANT MEASURES
(á. í. ÷ÅÒÛÉË. çìáäëéå é îåçìáäëéå $AF$-áìçåâòù é úáäáþá ïâ éî÷áòéáîôîùè íåòáè
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M. I. Belishev, M. N. Demchenko
ELEMENTS OF NONCOMMUTATIVE GEOMETRY
IN INVERSE PROBLEMS ON MANIFOLDS
(í. é. âÅÌÉÛÅ×, í. î. äÅÍÞÅÎËÏ. üìåíåîôù îåëïííõôáôé÷îïê çåïíåôòéé ÷ ïâòáôîùè úáäáþáè îá íîïçïïâòáúéñè)
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N. M. Bogoliubov, C. Malyshev
SCALAR PRODUCTS OF STATE-VECTORS OF THE INTEGRABLE
MODELS AND THEIR COMBINATORIAL INTERPRETATION
(î. í. âÏÇÏÌÀÂÏ×, ë. íÁÌÙÛÅ×. óëáìñòîùå ðòïéú÷åäåîéñ ÷åëôïòï÷ óïóôïñîéñ éîôåçòéòõåíùè
íïäåìåê é éè ëïíâéîáôïòîáñ éîôåòðòåôáãéñ)
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V. A. Solonnikov
$L_p$-THEORY OF FREE BOUNDARY PROBLEMS
OF MAGNETOHYDRODYNAMICS IN SIMPLY CONNECTED DOMAINS
(÷. á. óÏÌÏÎÎÉËÏ×. $L_p$-ôåïòéñ úáäáþ íáçîéôîïê çéäòïäéîáíéëé óï ó÷ïâïäîùíé
çòáîéãáíé ÷ ïäîïó÷ñúîùè ïâìáóôñè)
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V. A. Solonnikov
$L_p$-THEORY OF FREE BOUNDARY PROBLEMS OF MAGNETOHYDRODYNAMICS
IN MULTI-CONNECTED DOMAINS
(÷. á. óÏÌÏÎÎÉËÏ×. $L_p$-ôåïòéñ äìñ úáäáþ íáçîéôîïê çéäòïäéîáíéëé óï ó÷ïâïäîùíé
çòáîéãáíé ÷ íîïçïó÷ñúîùè ïâìáóôñè)
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A. Barg, M. Skriganov
ASSOCIATION SCHEMES ON GENERAL MEASURE SPACES
AND ZERO-DIMENSIONAL ABELIAN GROUPS
(á. âÁÒÇ, í. óËÒÉÇÁÎÏ×. áóóïãéáôé÷îùå óèåíù îá ïâýéè ðòïóôòáîóô÷áè
ó íåòïê é îá îõìøíåòîùè áâåìå÷ùè çòõððáè)
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