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Rocky Mountain Journal of Mathematics
VOL. 37 · NO. 1 | 2007
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 37, no. 1, (2007)
Rocky Mountain J. Math. 37 (1), (2007) Open Access
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Articles
Pairs of Topological Algebras
Mart Abel, Mati Abel
Rocky Mountain J. Math. 37 (1), 1-16, (2007) DOI: 10.1216/rmjm/1181069316 Open Access
KEYWORDS: Topological algebras, Gelfand-Mazur algebras, exponentially galbed algebras, simplicial topological algebras, $Q$-algebras, pairs of topological algebras, completion of topological algebras, 46H05, 46H20
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On Locally Uniformly $A$-Pseudoconvex Algebras
M. Abel, A. El Kinani, M. Oudadess
Rocky Mountain J. Math. 37 (1), 17-23, (2007) DOI: 10.1216/rmjm/1181069317 Open Access
KEYWORDS: locally pseudoconvex algebra, locally $m$-pseudoconvex algebra, locally uniformly A -pseudoconvex algebra, $Q$-algebra, advertibly complete algebra, bornology, von Neumann bornology, bounded structure, boundedness, 46H05, 46H20
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On a Stationary, Triple-Wise Independent, Absolutely Regular Counterexample to the Central Limit Theorem
Richard C. Bradley
Rocky Mountain J. Math. 37 (1), 25-44, (2007) DOI: 10.1216/rmjm/1181069318 Open Access
KEYWORDS: Strictly stationary, triple-wise independent, central limit theorem, 60G10, 60F05
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The Length of Ducci's Four-Number Game
Ron Brown, Jonathan L. Merzel
Rocky Mountain J. Math. 37 (1), 45-65, (2007) DOI: 10.1216/rmjm/1181069319 Open Access
KEYWORDS: Ducci sequence, four-number game, length, 11B83, 11B37
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Periodic Boundary Value Problem for First Order Impulsive Differential Equation at Resonance
Guolan Cai, Zengji Du, Weigao Ge
Rocky Mountain J. Math. 37 (1), 67-77, (2007) DOI: 10.1216/rmjm/1181069320 Open Access
KEYWORDS: Impulsive differential equation, Periodic boundary value problem, coincidence degree method, resonance case
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On Impulsive Time-Varying Systems with Unbounded Time- Varying Point Delays: Stability and Compactness of the Relevant Operators Mapping the Inupt Space into the State and Output Spaces
M. De la Sen
Rocky Mountain J. Math. 37 (1), 79-129, (2007) DOI: 10.1216/rmjm/1181069321 Open Access
KEYWORDS: ‎compact‎ ‎operators, time-delay dynamic systems, stability, time-varying dynamic systems, 34A36, 93C23, 34A45, 93D05, 93D20, 93B42
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On a Problem of Diophantus with Polynomials
Andrej Dujella, Florian Luca
Rocky Mountain J. Math. 37 (1), 131-157, (2007) DOI: 10.1216/rmjm/1181069322 Open Access
KEYWORDS: Diophantine m -tuples, polynomials, 11C08, 11D41
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On the Approximation of the Jacobi Polynomials
Uri Elias, Harry Gingold
Rocky Mountain J. Math. 37 (1), 159-184, (2007) DOI: 10.1216/rmjm/1181069323 Open Access
KEYWORDS: Jacobi polynomials, Special functions, hypergeometric equation, asymptotic approximations, 33C45, 34E10
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Green's Theorem without Derivatives
Isidore Fleischer
Rocky Mountain J. Math. 37 (1), 185-188, (2007) DOI: 10.1216/rmjm/1181069324 Open Access
KEYWORDS: 26B20, 26A39, 28A75
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Inequalities of Generalized Hyperbolic Metrics
Peter A. Hästö
Rocky Mountain J. Math. 37 (1), 189-202, (2007) DOI: 10.1216/rmjm/1181069325 Open Access
KEYWORDS: Metric inequalities, generalized hyperbolic metrics, 51M16
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Domains of Dimension ${\bf 1}$ with Infinitely Many Singular Maximal Ideals
William J. Heinzer, Lawrence S. Levy
Rocky Mountain J. Math. 37 (1), 203-214, (2007) DOI: 10.1216/rmjm/1181069326 Open Access
KEYWORDS: Singular maximal ideals, commutative Noetherian rings, efg relations, Dedekind-like rings, 13B21, 13C05, 13E05
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An Eigenvalue Problem for Quasilinear Systems
Johnny Henderson, Haiyan Wang
Rocky Mountain J. Math. 37 (1), 215-228, (2007) DOI: 10.1216/rmjm/1181069327 Open Access
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Cardinal Invariants of the Topology of Uniform Convergence on Compact Sets on the Space of Minimal USCO Maps
L'. Holá, R.A. McCoy
Rocky Mountain J. Math. 37 (1), 229-246, (2007) DOI: 10.1216/rmjm/1181069328 Open Access
KEYWORDS: minimal usco map, locally bounded densely continuous form, Locally Compact, locally convex linear topological space, Density, weight, netweight, cellularity, 54C35‎, ‎54C60‎
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Remarks on Spaces of Real Rational Functons
Yasuhiko Kamiyama
Rocky Mountain J. Math. 37 (1), 247-257, (2007) DOI: 10.1216/rmjm/1181069329 Open Access
KEYWORDS: Real rational function, full map, 55P35, 58D15
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A Central Limit Theorem for General Weighted Sums of LNQD Random Variables and Its Application
Mi-Hwa Ko, Dae-Hee Ryu, Tae-Sung Kim, Yong-Gab Choi
Rocky Mountain J. Math. 37 (1), 259-268, (2007) DOI: 10.1216/rmjm/1181069330 Open Access
KEYWORDS: central limit theorem, linear process, linearly negative quadrant dependent, uniformly integrable, triangular array, 60F05, 60G10
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Classical Operators on Mixed-Normed Spaces with Product Weights
Douglas S. Kurtz
Rocky Mountain J. Math. 37 (1), 269-283, (2007) DOI: 10.1216/rmjm/1181069331 Open Access
KEYWORDS: mixed-norm space, weight, maximal function, 42B25, 42E30, 42B20
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When Divisibility by an Element Implies Invertibility
John A. Lewallen
Rocky Mountain J. Math. 37 (1), 285-289, (2007) DOI: 10.1216/rmjm/1181069332 Open Access
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On the Number of Blowing-Up Solutions to a Nonlinear Elliptic Equation with Critical Growth
Anna Maria Micheletti, Angela Pistoia, Daniela Visetti
Rocky Mountain J. Math. 37 (1), 291-325, (2007) DOI: 10.1216/rmjm/1181069333 Open Access
KEYWORDS: Critical exponent, Uniqueness result, 35J20, 35J60
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The Square of a Map, Symbolic Dynamics and the Conley Index
Jim Wiseman
Rocky Mountain J. Math. 37 (1), 327-342, (2007) DOI: 10.1216/rmjm/1181069334 Open Access
KEYWORDS: Conley index, symbolic dynamics, renewal system, 37B30, 37B10, 54H20‎
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Bellman Functions and MRA Wavelets
Janine Wittwer
Rocky Mountain J. Math. 37 (1), 343-358, (2007) DOI: 10.1216/rmjm/1181069335 Open Access
KEYWORDS: 42A50
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