Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Washek F. Pfeffer"'
Autor:
Jan Malý, Washek F. Pfeffer
Publikováno v:
Mathematica Bohemica, Vol 141, Iss 2, Pp 217-237 (2016)
The generalized Riemann integral of Pfeffer (1991) is defined on all bounded ${\rm BV$ subsets of $\mathbb R^n$, but it is additive only with respect to pairs of disjoint sets whose closures intersect in a set of $\sigma$-finite Hausdorff measure of
Externí odkaz:
https://doaj.org/article/ec1f490b402140ea822cf708c86da3ff
Autor:
Washek F. Pfeffer
Publikováno v:
Journal of the London Mathematical Society. 104:2402-2432
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc20451d92e43e71923de8d04e828822
https://doi.org/10.1112/jlms.12502
https://doi.org/10.1112/jlms.12502
Autor:
Washek F. Pfeffer
Publikováno v:
Journal of Mathematical Analysis and Applications. 475:51-93
Charges are linear functionals on normal chains in a compact metric space that are continuous with respect to a modified flat norm topology. They define a cohomology which reflects metric, rather than topological, properties of the underlying space.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::feffa8831b323e24cd4db07fba7fbe6f
https://doi.org/10.1016/j.jmaa.2019.01.067
https://doi.org/10.1016/j.jmaa.2019.01.067
Autor:
Washek F. Pfeffer
Publikováno v:
Ricerche di Matematica. 69:1-11
We prove that in a Banach space with the metric approximation property the flat chains defined by De Pauw and Hardt (Am J Math 134:1–69, 2012) coincide with those of Adams (J Geom Anal 18:1–28, 2008).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e39fa8dda3d6945420476b0a9e8b86cb
https://doi.org/10.1007/s11587-019-00445-z
https://doi.org/10.1007/s11587-019-00445-z
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 92:86-112
Giving the space N-m(R-n) of m-dimensional normal currents a suitable topology, we define charges as continuous linear functionals. A continuous differential form omega : R-n -> Lambda R-m(n) acting on N-m(R-n) by := is an example of a charge. We sho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75ca6714eb4e5982201a7d7f5643dae2
https://doi.org/10.1016/j.matpur.2009.04.001
https://doi.org/10.1016/j.matpur.2009.04.001
Autor:
Washek F. Pfeffer
Publikováno v:
The American Mathematical Monthly. 115:943-947
1. M. Abramowitz and I. Stegun, eds., The Handbook of Mathematical Functions with Formulas, Graph and Mathematical Tables, Government Printing Office, Washington, DC, 1964. 2. A. Erd?lyi, Higher Transcendental Functions, McGraw-Hill, New York, 1953.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2df3ab637211bd1046780a40bd3ff92
https://doi.org/10.1080/00029890.2008.11920613
https://doi.org/10.1080/00029890.2008.11920613
Autor:
Thierry De Pauw, Washek F. Pfeffer
Publikováno v:
Transactions of the American Mathematical Society. 359:5915-5929
In the context of Lebesgue integration, we derive the divergence theorem for unbounded vector fields that can have singularities at every point of a compact set whose Minkowski content of codimension greater than two is finite. The resulting integrat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f32695b2579df09296d55fd14f92876
https://doi.org/10.1090/s0002-9947-07-04178-5
https://doi.org/10.1090/s0002-9947-07-04178-5
Autor:
Washek F. Pfeffer, Thierry De Pauw
Publikováno v:
Communications on Pure and Applied Mathematics. 61:230-260
The equation div upsilon = F has a continuous weak solution in an open set U subset of R-m if and only if the distribution F satisfies the following condition: the F(phi(i)) converge to 0 for every sequence {phi(i)} of test functions such that the su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::834f85354f91e6a9348f4081abdf99be
https://doi.org/10.1002/cpa.20204
https://doi.org/10.1002/cpa.20204
Autor:
Washek F. Pfeffer
Publikováno v:
Bulletin of the London Mathematical Society. 37:81-94
In the context of Lebesgue integration the Gauss–Green theorem is proved for bounded vector fields with substantial sets of singularities with respect to continuity and differentiability. The resulting integration by parts is applied to removable s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68abf74b4a5e6cae959acfa06ec204d1
https://doi.org/10.1112/s0024609304003777
https://doi.org/10.1112/s0024609304003777