Convergence of functionals and its applications to parabolic equations.
Akagi, Goro (2004)
Abstract and Applied Analysis
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Displaying similar documents to “Integral representations for Padé-type operators.”
Convergence of functionals and its applications to parabolic equations.
Decomposition of polyharmonic functions with respect to the complex Dunkl Laplacian.
Ren, Guangbin, Malonek, Helmuth R. (2010)
Journal of Inequalities and Applications [electronic only]
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Harmonic interpolation based on Radon projections along the sides of regular polygons
Irina Georgieva, Clemens Hofreither, Christoph Koutschan, Veronika Pillwein, Thotsaporn Thanatipanonda (2013)
Open Mathematics
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Given information about a harmonic function in two variables, consisting of a finite number of values of its Radon projections, i.e., integrals along some chords of the unit circle, we study the problem of interpolating these data by a harmonic polynomial. With the help of symbolic summation techniques we show that this interpolation problem has a unique solution in the case when the chords form a regular polygon. Numerical experiments for this and more general cases are presented. ...
Boundary vs. interior conditions associated with weighted composition operators
Kei Izuchi, Yuko Izuchi, Shûichi Ohno (2014)
Open Mathematics
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Associated with some properties of weighted composition operators on the spaces of bounded harmonic and analytic functions on the open unit disk , we obtain conditions in terms of behavior of weight functions and analytic self-maps on the interior and on the boundary respectively. We give direct proofs of the equivalence of these interior and boundary conditions. Furthermore we give another proof of the estimate for the essential norm of the difference of weighted composition operators. ...
On some inequalities in holomorphic function theory in polydisk related to diagonal mapping
Romi F. Shamoyan, Olivera R. Mihić (2010)
Czechoslovak Mathematical Journal
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We present a description of the diagonal of several spaces in the polydisk. We also generalize some previously known contentions and obtain some new assertions on the diagonal map using maximal functions and vector valued embedding theorems, and integral representations based on finite Blaschke products. All our results were previously known in the unit disk.
Asymptotic tracts of harmonic functions. III.
Barth, Karl F., Brannan, David A. (1996)
International Journal of Mathematics and Mathematical Sciences
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On the generalized Hardy spaces.
Fatehi, M. (2010)
Abstract and Applied Analysis
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Generalized radix representations and dynamical systems II
Shigeki Akiyama, Horst Brunotte, Attila Pethő, Jörg M. Thuswaldner (2006)
Acta Arithmetica
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Mean-periodic functions.
Berenstein, Carlos A., Taylor, B.A. (1980)
International Journal of Mathematics and Mathematical Sciences
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