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Rocky Mountain Journal of Mathematics
VOL. 2 · NO. 1 | Winter 1972
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 2, no. 1, (1972)
Rocky Mountain J. Math. 2 (1), (Winter 1972) Open Access
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Articles
A closure property of regressive isols
Matthew J. Hassett
Rocky Mountain J. Math. 2 (1), 1-24, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-1 Open Access
KEYWORDS: 02F40, 02F20
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Remarks on homological dimensions
John C. Nichols
Rocky Mountain J. Math. 2 (1), 25-30, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-25 Open Access
KEYWORDS: 14A05, 13D05
No abstract available
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$\lambda(n)$-convex functions
Ronald M. Mathsen
Rocky Mountain J. Math. 2 (1), 31-44, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-31 Open Access
KEYWORDS: convexity, $\lambda(n)$-parameter family, $\lambda(n)$-convexity, $\lambda(n)*$-convexity, disconjugacy., 26A51‎, 34A10, 34C10, generalized convexity, n-parameter family
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The ideal transform in a generalized Krull domain
Elbert M. Pirtle
Rocky Mountain J. Math. 2 (1), 45-48, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-45 Open Access
KEYWORDS: 13F05, 13G05, 13A15, 13B25, 13B20
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Lambert series, false theta functions, and partitions
George E. Andrews
Rocky Mountain J. Math. 2 (1), 49-56, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-49 Open Access
KEYWORDS: 1048, 3304, 3319, 3320
No abstract available
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Perturbation and approximation theory for higher-order abstract Cauchy problems
L. Bobisud, R. Hersh
Rocky Mountain J. Math. 2 (1), 57-74, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-57 Open Access
KEYWORDS: 34G05, 35B20, 35B25, 41A65
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Spectral representation of self adjoint extensions of a symmetric operator
Richard C. Gilbert
Rocky Mountain J. Math. 2 (1), 75-96, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-75 Open Access
KEYWORDS: spectrum, resolvent, generalized resolution of the identity., 47A20, 47B25, 47A10, 47E05, ‎symmetric operator, deficiency indices, Selfadjoint operator, selfadjoint extension, spectral multiplicity, spectral function, generalized spectral function, spectral matrix, ‎spectral representation, multiplication operator, singular Sturm-Liouville operator, Cayley transform, ‎isometric operator, unitary operator, unitary extension, generating subspace, analytic function with nonnegative imaginary part, resolution of the identity, generalized resolvent
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Principal submatrices. VIII. Principal sections of a pair of forms
R.C. Thompson
Rocky Mountain J. Math. 2 (1), 97-110, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-97 Open Access
KEYWORDS: 15A42, 15A63, linear algebra, principal submatrix, eigenvalue inequalities.,
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Generating sets for a field as a ring extension of a subfield
Robert Gilmer
Rocky Mountain J. Math. 2 (1), 111-118, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-111 Open Access
KEYWORDS: 12E99, 12F99, 13A99
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Calculus of variations in complex vector bundles
Alfred Gray
Rocky Mountain J. Math. 2 (1), 119-130, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-119 Open Access
KEYWORDS: 53C55, 49F22, 32C10
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A test for temporal independence for partially homogeneous Gaussian random fields
Herbert T. Davis
Rocky Mountain J. Math. 2 (1), 131-138, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-131 Open Access
KEYWORDS: 62M10, 62M20, 60G25, 62H25, 62P99
No abstract available
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Direct sums of countable groups
M. Bills
Rocky Mountain J. Math. 2 (1), 139-142, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-139 Open Access
KEYWORDS: 20K25, 20K10, 20E99
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Some counterexamples involving selfadjoint operators
Jerome A Goldstein
Rocky Mountain J. Math. 2 (1), 143-150, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-143 Open Access
KEYWORDS: 47C99, 47D10, 47B25, 47B47, 22A99
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On the Hurwitz zeta-function
Bruce C. Berndt
Rocky Mountain J. Math. 2 (1), 151-158, (Winter 1972) DOI: 10.1216/RMJ-1972-2-1-151 Open Access
KEYWORDS: 1041, 1040
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