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Rocky Mountain Journal of Mathematics
VOL. 1 · NO. 3 | Summer 1971
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 1, no. 3, (1971)
Rocky Mountain J. Math. 1 (3), (Summer 1971) Open Access
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Articles
An example concerning algebras of measurable functions
Anthony W. Hager
Rocky Mountain J. Math. 1 (3), 415-418, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-415 Open Access
KEYWORDS: 06A70, 28A20, ‎54C30, 06A40, 46A30, 46E25, 46E30, 54C40
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Nodal domain theorems for general elliptic equations
Kurt Kreith
Rocky Mountain J. Math. 1 (3), 419-426, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-419 Open Access
KEYWORDS: 3511, 3542
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A metric for weak convergence of distribution functions
David A. Sibley
Rocky Mountain J. Math. 1 (3), 427-430, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-427 Open Access
KEYWORDS: 6020, 5435
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Spectral representation of selfadjoint dilations of symmetric operators with piecewise $C^2$ spectral functions
Richard C. Gilbert
Rocky Mountain J. Math. 1 (3), 431-458, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-431 Open Access
KEYWORDS: spectrum, 4730, 4740, 4760, ‎spectral representation, selfadjoint dilations of symmetric operators, selfadjoint extensions of symmetric operators, SturmLiouville operators, ‎symmetric operator, Weyl limit point case, eigenfunction expansion, spectral multiplicity, spectral matrix, generalized resolvent, spectral function, Stieltjes inversion formula, multiplication operator, fundamental solution.
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Comparison theorems for second order delay differential equations
Klaus Schmitt
Rocky Mountain J. Math. 1 (3), 459-468, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-459 Open Access
KEYWORDS: 34K15, 34C10, 34C15
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On Liapunov's direct method
James S. Muldowney
Rocky Mountain J. Math. 1 (3), 469-482, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-469 Open Access
KEYWORDS: 34D05, 34D20, 34A10, 34A15
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Parallelism in near rings
Gunter Pilz
Rocky Mountain J. Math. 1 (3), 483-488, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-483 Open Access
KEYWORDS: 1696, 0690, 1405, 0610, 5010
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Countably recognizable classes of groups
Richard E. Phillips
Rocky Mountain J. Math. 1 (3), 489-498, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-489 Open Access
KEYWORDS: 20E25, 20E20
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Best Chebyshev quadratures
Richard Franke
Rocky Mountain J. Math. 1 (3), 499-508, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-499 Open Access
KEYWORDS: 41A55, 65D30
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Regularity theorems and Geršgorin theorems for matrices over rings with valuation
J.L. Brenner
Rocky Mountain J. Math. 1 (3), 509-522, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-509 Open Access
KEYWORDS: 15A18‎, ‎15A33, ‎15A09, 15A15
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Curvature and characteristic classes of compact pseudo- Reimannian manifold
Chuan-Chih Hsiung, John J. Levko III
Rocky Mountain J. Math. 1 (3), 523-536, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-523 Open Access
KEYWORDS: 53C50, 53C65, 57D20
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The boundary of a vertically connected cube is tame
L.D. Loveland
Rocky Mountain J. Math. 1 (3), 537-540, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-537 Open Access
KEYWORDS: *-taming sets, 55A30, 57A10, Tame 2-spheres, tame surfaces, embeddings in E3, surfaces in E3, vertically connected.
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$p$-subgroups of core-free quasinormal subgroups
Fletcher Gross
Rocky Mountain J. Math. 1 (3), 541-550, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-541 Open Access
KEYWORDS: p-group, 20D15, 20F30, 20D40, Quasinormal subgroup, nilpotence class, derived length.
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Green's Lemma for groupoids
Kenneth M. Kapp
Rocky Mountain J. Math. 1 (3), 551-560, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-551 Open Access
KEYWORDS: 20N99, 20M10
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Some representation theorems
A. De Korvin, R.J. Easton
Rocky Mountain J. Math. 1 (3), 561-574, (Summer 1971) DOI: 10.1216/RMJ-1971-1-3-561 Open Access
KEYWORDS: 28A45, 46G10
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