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Notions of positivity and the geometry of polynomials. Dedicated to the memory of Julius Borcea. (English) Zbl 1222.00033
Trends in Mathematics. Basel: Birkhäuser (ISBN 978-3-0348-0141-6/hbk; 978-3-0348-0142-3/ebook). xx, 403 p. (2011).

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The articles of this volume will be reviewed individually.
Indexed articles:
Aleman, Alexandru; Sarafoleanu, Andreea, Commuting linear differential operators and Hankel matrices, 1-15 [Zbl 1266.47007]
Andersson, Mats; Wulcan, Elizabeth, Variants of the effective Nullstellensatz and residue calculus, 17-31 [Zbl 1258.14069]
Berndtsson, Bo, An extension problem for convex functions, 33-37 [Zbl 06075434]
Björk, Jan-Erik; Borcea, Julius; Bøgvad, Rikard, Subharmonic configurations and algebraic Cauchy transforms of probability measures, 39-62 [Zbl 1253.31001]
Brändén, Petter; Haglund, James; Visontai, Mirkó; Wagner, David G., Proof of the monotone column permanent conjecture, 63-78 [Zbl 1252.15007]
Brešar, Matej; Klep, Igor, Tracial Nullstellensätze, 79-101 [Zbl 1247.14062]
Csordas, George, Iterated Turán inequalities and a conjecture of P. Brändén, 103-113 [Zbl 1248.26018]
Deschout, Klaas; Kuijlaars, Arno B. J., Double scaling limit for modified Jacobi-Angelesco polynomials, 115-161 [Zbl 1254.30046]
Duren, Peter; Shapiro, Harold S., Constrained approximation via functional analysis, 163-166 [Zbl 1248.41032]
Eremenko, Alexandre; Gabrielov, Andrei, An elementary proof of the B. and M. Shapiro conjecture for rational functions, 167-178 [Zbl 1246.14062]
Friedland, Shmuel; Peled, Uri N., The pressure, densities and first-order phase transitions associated with multidimensional SOFT, 179-220 [Zbl 1251.82026]
Gekhtman, Michael; Korovnichenko, Olena, Matrix Weyl functions and non-abelian Coxeter-Toda lattices, 221-237 [Zbl 1262.37031]
Gustafsson, Björn; Tkachev, Vladimir, On the exponential transform of lemniscates, 239-257 [Zbl 1284.30025]
Ismail, Mourad; Simeonov, Plamen, On a family of positive linear integral operators, 259-274 [Zbl 1248.41026]
Johnson, C. R.; Marijuán, C.; Pisonero, M.; Walch, O., Monomial inequalities for Newton coefficients and determinantal inequalities for \(p\)-Newton matrices, 275-282 [Zbl 1250.15025]
Khavinson, Dmitry; Pereira, Rajesh; Putinar, Mihai; Saff, Edward B.; Shimorin, Serguei, Borcea’s variance conjectures on the critical points of polynomials, 283-309 [Zbl 1291.30036]
Liggett, Thomas M.; Vandenberg-Rodes, Alexander, Stability on \(\{0, 1, 2, \dots \}^{S}\): birth-death chains and particle systems, 311-329 [Zbl 1278.60144]
Ranestad, Kristian; Sturmfels, Bernd, The convex hull of a variety, 331-344 [Zbl 1253.14055]
Reznick, Bruce, Blenders, 345-373 [Zbl 1281.11031]
Shiffman, Bernard; Zelditch, Steve, Random complex fewnomials. I, 375-400 [Zbl 1246.32006]
Tyurina, Svetlana; Varchenko, Alexander, Finite-order invariants for \((n, 2)\)-torus knots and the curve \(Y^{2}=X^{3}+X^{2}\), 401-403 [Zbl 1246.57028]
Brändén, Petter; Passare, Mikael; Putinar, Mihai, Julius Bogdan Borcea in memoriam (1968-2009), vii-xx [Zbl 1246.01022]

MSC:
00B15 Collections of articles of miscellaneous specific interest
05-06 Proceedings, conferences, collections, etc. pertaining to combinatorics
11-06 Proceedings, conferences, collections, etc. pertaining to number theory
12-06 Proceedings, conferences, collections, etc. pertaining to field theory
14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry
30-06 Proceedings, conferences, collections, etc. pertaining to functions of a complex variable
33-06 Proceedings, conferences, collections, etc. pertaining to special functions
47-06 Proceedings, conferences, collections, etc. pertaining to operator theory
52-06 Proceedings, conferences, collections, etc. pertaining to convex and discrete geometry
60-06 Proceedings, conferences, collections, etc. pertaining to probability theory
Biographic References:
Borcea, Julius
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