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Rocky Mountain Journal of Mathematics
VOL. 39 · NO. 4 | 2009
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 39, no. 4, (2009)
Rocky Mountain J. Math. 39 (4), (2009) Open Access
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Articles
Cuntz-Pimsner $C*$-Algebras and Crossed Products by Hilbert $C*$-Bimodules
Beatriz Abadie, Mauricio Achigar
Rocky Mountain J. Math. 39 (4), 1051-1081, (2009) DOI: 10.1216/RMJ-2009-39-4-1051 Open Access
KEYWORDS: 46L05, 46L08
No abstract available
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A Few Remarks on Congruent Numbers
Terutake Abe, Ashvin Rajan, François Ramaroson
Rocky Mountain J. Math. 39 (4), 1083-1088, (2009) DOI: 10.1216/RMJ-2009-39-4-1083 Open Access
KEYWORDS: congruent numbers, Density, binary forms, 11A05, 11B05, 11E76, 11H46, 11G05, 11B25
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Fock Space Techniques in Tensor Algebras of Directed Graphs
Alvaro Arias
Rocky Mountain J. Math. 39 (4), 1089-1143, (2009) DOI: 10.1216/RMJ-2009-39-4-1089 Open Access
KEYWORDS: Fock spaces, $C*$-correspondences, directed graphs, 46H25, 47A20, 47D25, 47A57, 46M20
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Some Remarks on Factorial Quotient Rings
Giorgio Dalzotto
Rocky Mountain J. Math. 39 (4), 1145-1172, (2009) DOI: 10.1216/RMJ-2009-39-4-1145 Open Access
KEYWORDS: Factoriality, grading, unique factorization
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On the Extension of Schwartz Distributions to the Space of Discontinuous Test Functions of Several Variables
V. Derr, D. Kinzebulatov
Rocky Mountain J. Math. 39 (4), 1173-1193, (2009) DOI: 10.1216/RMJ-2009-39-4-1173 Open Access
KEYWORDS: Products of distributions, regulated functions, discontinuous payoff functions, 46F10, 34A36
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On the Size of Sets in Which $xy + 4$ is Always a Square
Alan Filipin
Rocky Mountain J. Math. 39 (4), 1195-1224, (2009) DOI: 10.1216/RMJ-2009-39-4-1195 Open Access
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Bounds on Characteristic Numbers by Curvature and Radius
Fernando Galaz-Garcia
Rocky Mountain J. Math. 39 (4), 1225-1231, (2009) DOI: 10.1216/RMJ-2009-39-4-1225 Open Access
KEYWORDS: 53C20, 57R20
No abstract available
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On the Henstock-Kurzweil-Dunford and Kurzweil-Henstock-Pettis Integrals
Ye Guoju
Rocky Mountain J. Math. 39 (4), 1233-1244, (2009) DOI: 10.1216/RMJ-2009-39-4-1233 Open Access
KEYWORDS: Kurzweil-Henstock-Dunford integral, Kurzweil-HenstockPettis integral, Kurzweil-Henstock integral, 28B05, 26A39, 46G10
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$K$-Homology Classes of Dirac Operators on Smooth Subsets of Singular Spaces
Peter Haskell, Charlotte Wahl
Rocky Mountain J. Math. 39 (4), 1245-1265, (2009) DOI: 10.1216/RMJ-2009-39-4-1245 Open Access
KEYWORDS: Dirac operator, $K$-homology, singular space, 58J20, 19K56, 19K35
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Trigonometric Quasi-Greedy Bases for $L^p(T;w)$
Morten Nielsen
Rocky Mountain J. Math. 39 (4), 1267-1278, (2009) DOI: 10.1216/RMJ-2009-39-4-1267 Open Access
KEYWORDS: Quasi-greedy basis, Schauder basis, trigonometric system
No abstract available
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The Convergence of $q$-Bernstein Polynomials $(0\lt q\lt 1)$ and Limit $q$-Bernstein Operators in Complex Domains
Sofiya Ostrovska, Heping Wang
Rocky Mountain J. Math. 39 (4), 1279-1291, (2009) DOI: 10.1216/RMJ-2009-39-4-1279 Open Access
KEYWORDS: $q$-integers, $q$-binomial coefficients, $q$-Bernstein polynomials, Uniform convergence, 41A10, 41A35, 30E10
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Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Satisfies ${\cal L}_\xi R_\xi=\nabla_\xi R_\xi$
Juan De Dios Pérez, Florentino G. Santos
Rocky Mountain J. Math. 39 (4), 1293-1301, (2009) DOI: 10.1216/RMJ-2009-39-4-1293 Open Access
KEYWORDS: 53C15, 53B25
No abstract available
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More on Heights Defined Over a Function Field
Jeffrey Lin Thunder
Rocky Mountain J. Math. 39 (4), 1303-1322, (2009) DOI: 10.1216/RMJ-2009-39-4-1303 Open Access
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The Mahler Measure of Linear Forms as Special Values of Solutions of Algebraic Differential Equations
R. Toledano
Rocky Mountain J. Math. 39 (4), 1323-1338, (2009) DOI: 10.1216/RMJ-2009-39-4-1323 Open Access
KEYWORDS: 11C08, 11Y35, 26D15
No abstract available
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Elliptic Divisibility Sequences and Certain Diophantine Equations
Minoru Yabuta
Rocky Mountain J. Math. 39 (4), 1339-1352, (2009) DOI: 10.1216/RMJ-2009-39-4-1339 Open Access
KEYWORDS: Elliptic curve, elliptic divisibility sequence, primitive divisor, Diophantine equation, canonical height, 11G05, 11A41, 11D61, 11D45
No abstract available
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Ambarzumyan-Type Theorems for the Sturm-Liouville Equation on a Graph
Chuan-Fu Yang, Zhen-You Huang, Xiao-Ping Yang
Rocky Mountain J. Math. 39 (4), 1353-1372, (2009) DOI: 10.1216/RMJ-2009-39-4-1353 Open Access
KEYWORDS: Ambarzumyan's theorem, inverse problem, Variational principle, multiplicity of an eigenvalue, 34B24, 34A55, 34B10, 73K03
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Convergence and Gibbs Phenomenon of Periodic Wavelet Frame Series
Zhihua Zhang
Rocky Mountain J. Math. 39 (4), 1373-1396, (2009) DOI: 10.1216/RMJ-2009-39-4-1373 Open Access
KEYWORDS: convergence, Gibbs phenomenon, periodic wavelet frame series, integral representation, 42C15
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