Results 11 to 20 of about 16,273 (125)

A discrete Bochner-Martinelli formula [PDF]

, 2011
In the even dimensional case the discrete Dirac equation may be reduced to the so-called discrete isotonic Dirac system in which suitable Dirac operators appear from both sides in half the dimension.
Bory-Reyes, Juan, Sommen, Franciscus
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Cauchy-type integrals in several complex variables [PDF]

, 2013
We present the theory of Cauchy-Fantappi\'e integral operators, with emphasis on the situation when the domain of integration, $D$, has minimal boundary regularity.
Lanzani, Loredana, Stein, Elias M.
core   +2 more sources

Random fixed point theorems in Banach spaces applied to a random nonlinear integral equation of the Hammerstein type

Fixed Point Theory and Applications, 2019
The purpose of this paper is to define a new random operator called the generalized ϕ-weakly contraction of the rational type. This new random operator includes those studied by Khan et al. (Filomat 31(12):3611–3626, 2017) and Zhang et al. (Appl.
Godwin Amechi Okeke, Sheila Amina Bishop, Hudson Akewe   +2 more
doaj   +1 more source

Multifunctions determined by integrable functions [PDF]

, 2019
Integral properties of multifunctions determined by vector valued functions are presented. Such multifunctions quite often serve as examples and counterexamples.
Candeloro, D., Di Piazza, L., Musial, K., Sambucini, A. R.   +3 more
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Cauchy integral formulae in quaternionic hermitean clifford analysis [PDF]

, 2011
The theory of complex Hermitean Clifford analysis was developed recently as a refinement of Euclidean Clifford analysis; it focusses on the simultaneous null solutions, called Hermitean monogenic functions, of two Hermitean Dirac operators constituting a
Abreu Blaya, Ricardo, Bory Reyes, Juan, Brackx, Fred, De Schepper, Hennie, Sommen, Franciscus   +4 more
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Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces

Abstract and Applied Analysis, 2011
The authors study the boundedness for a large class of sublinear operator T generated by Calderón-Zygmund operator on generalized Morrey spaces Mp,φ.
Vagif S. Guliyev, Seymur S. Aliyev, Turhan Karaman   +2 more
doaj   +1 more source

Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
The goal of this paper is to present a semi-local convergence analysis for some iterative methods under generalized conditions. The operator is only assumed to be continuous and its domain is open. Applications are suggested including Banach space valued
Anastassiou George A., Argyros Ioannis K.   +1 more
doaj   +1 more source

Functions of several Cayley-Dickson variables and manifolds over them

, 2006
Functions of several octonion variables are investigated and integral representation theorems for them are proved. With the help of them solutions of the ${\tilde {\partial}}$-equations are studied.
A. Connes, A. G. Kurosh, A. N. Kolmogorov, B. DeWitt, E. H. Spanier, F. A. Berezin, G. Emch, H. B. Lawson, J. C. Baez, J. D. Moore, J. J. Loeb, K. Kodaira, L. Narici, N. Murakoshi, R. Engelking, S. V. Ludkovsky, S. V. Lüdkovsky, S. V. Lüdkovsky, S. V. Lüdkovsky, S. V. Lüdkovsky, S. V. Lüdkovsky, V. A. Zorich, W. Klingenberg   +22 more
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Solvability of inclusions of Hammerstein type

, 2019
A fairly general continuation theorem of Leray-Schauder type for the class of so-called admissible multimaps is set forth. This result is then used to establish a universal rule for solving operator inclusions of Hammerstein type in Lebesgue-Bochner ...
Pietkun, Radosław
core   +1 more source

Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculus

Journal of Numerical Analysis and Approximation Theory, 2018
We present a semi-local convergence analysis for a class of iterative methods under generalized conditions. Some applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.
Ioannis K. Argyros, George A. Anastassiou   +1 more
doaj   +2 more sources