Generalized holomorphic functions and Clifford analysis.
Obolashvili, E. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “Liouville's theorem for first-order partial differential operators”
Generalized holomorphic functions and Clifford analysis.
Some remarks on the Nevanlinna theory of holomorphic mappings of Riemann surfaces
Alois Klíč (1980)
Časopis pro pěstování matematiky
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A note on holomorphic mappings with two fixed points
Marek Jarnicki, Piotr Tworzewski (1990)
Annales Polonici Mathematici
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The holomorphic contractibility of two generalized Teichmüller spaces.
Earle, Clifford J. (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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Real and complex fundamental solutions. A way for unifying mathematical analysis.
Tutschke, Wolfgang (2002)
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On boundary behavior of Cauchy integrals
Hiroshige Shiga (2013)
Annales UMCS, Mathematica
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In this paper, we shall estimate the growth order of the n-th derivative Cauchy integrals at a point in terms of the distance between the point and the boundary of the domain. By using the estimate, we shall generalize Plemelj-Sokthoski theorem. We also consider the boundary behavior of generalized Cauchy integrals on compact bordered Riemann surfaces.
On exceptional values of holomorphic mappings of Riemann surfaces
Alois Klíč (1980)
Časopis pro pěstování matematiky
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On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem
F. Periago, B. Straub (2003)
Studia Mathematica
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We prove existence and uniqueness of classical solutions for an incomplete second-order abstract Cauchy problem associated with operators which have polynomially bounded resolvent. Some examples of differential operators to which our abstract result applies are also included.
Norm inequalities for integral operators on cones
Yoram Sagher, M. Vali Siadat, Kecheng Zhou (1990)
Colloquium Mathematicae
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Holomorphic Families of Dirac Operators.
Tosio Kato (1983)
Mathematische Zeitschrift
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Criterion for connections on principal bundles over a pointed Riemann surface
Indranil Biswas (2017)
Complex Manifolds
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We investigate connections, and more generally logarithmic connections, on holomorphic principal bundles over a compact connected Riemann surface.
A Cartan-type result for invariant distances and one-dimensional holomorphic retracts.
Colum Watt (2001)
Publicacions Matemàtiques
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We derive conditions under which a holomorphic mapping of a taut Riemann surface must be an automorphism. This is an analogue involving invariant distances of a result of H. Cartan. Using similar methods we prove an existence result for 1-dimensional holomorphic retracts in a taut complex manifold.