Local solvability of diagonal equations (again)
Christopher Skinner (2006)
Acta Arithmetica
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Christopher Skinner (2006)
Acta Arithmetica
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F. Constantinescu, J. G. Taylor (1973)
Recherche Coopérative sur Programme n°25
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Akram Lbekkouri (2013)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Let K be a local field with finite residue field of characteristic p. This paper is devoted to the study of the maximal abelian extension of K of exponent p-1 and its maximal p-abelian extension, especially the description of their Galois groups in solvable case. Then some properties of local fields in general case are studied too.
G. Belitskii, Yu. Lyubich (1998)
Studia Mathematica
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We investigate the solvability in continuous functions of the Abel equation φ(Fx) - φ(x) = 1 where F is a given continuous mapping of a topological space X. This property depends on the dynamics generated by F. The solvability of all linear equations P(x)ψ(Fx) + Q(x)ψ(x) = γ(x) follows from solvability of the Abel equation in case F is a homeomorphism. If F is noninvertible but X is locally compact then such a total solvability is determined by the same property of the cohomological...
Banaszczyk, Maria Zofia (2015-11-28T13:19:41Z)
Acta Universitatis Lodziensis. Folia Mathematica
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M. Mršević (1979)
Matematički Vesnik
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J. Grabowski, M. M. Sysło (1975)
Applicationes Mathematicae
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C.B. Thomas (1979)
Inventiones mathematicae
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J.F. Plante (1979)
Inventiones mathematicae
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Josef Kolomý (1974)
Colloquium Mathematicae
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Gordeziani, N. (2000)
Bulletin of TICMI
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Janusz Charatonik, M. Kalota (1983)
Fundamenta Mathematicae
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Lupu, Daniela (2000)
APPS. Applied Sciences
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Włodzimierz Mikulski (2015)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Let X, Y, Z, W be manifolds and π : Z → X be a surjective submersion. We characterize π-local regular operators A : C∞(X,Y) → C∞(Z,W) in terms of the corresponding maps à : J∞(X,Y) ×XZ → W satisfying the so-called local finite order factorization property.
D. Somasundaram, V. Saraswathi (1984)
Matematički Vesnik
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