An axiomatic theory of non-absolutely convergent integrals in Rn
Fundamenta Mathematicae (1994)
- Volume: 145, Issue: 3, page 221-242
- ISSN: 0016-2736
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topJurkat, W., and Nonnenmacher, D.. "An axiomatic theory of non-absolutely convergent integrals in Rn." Fundamenta Mathematicae 145.3 (1994): 221-242. <http://eudml.org/doc/212044>.
@article{Jurkat1994,
abstract = {We introduce an axiomatic approach to the theory of non-absolutely convergent integrals. The definition of our ν-integral will be descriptive and depends mainly on characteristic null conditions. By specializing our concepts we will later obtain concrete theories of integration with natural properties and very general versions of the divergence theorem.},
author = {Jurkat, W., Nonnenmacher, D.},
journal = {Fundamenta Mathematicae},
keywords = {generalized Riemann integral; divergence theorem; non-absolutely convergent integrals; Saks-Henstock lemma},
language = {eng},
number = {3},
pages = {221-242},
title = {An axiomatic theory of non-absolutely convergent integrals in Rn},
url = {http://eudml.org/doc/212044},
volume = {145},
year = {1994},
}
TY - JOUR
AU - Jurkat, W.
AU - Nonnenmacher, D.
TI - An axiomatic theory of non-absolutely convergent integrals in Rn
JO - Fundamenta Mathematicae
PY - 1994
VL - 145
IS - 3
SP - 221
EP - 242
AB - We introduce an axiomatic approach to the theory of non-absolutely convergent integrals. The definition of our ν-integral will be descriptive and depends mainly on characteristic null conditions. By specializing our concepts we will later obtain concrete theories of integration with natural properties and very general versions of the divergence theorem.
LA - eng
KW - generalized Riemann integral; divergence theorem; non-absolutely convergent integrals; Saks-Henstock lemma
UR - http://eudml.org/doc/212044
ER -
References
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Citations in EuDML Documents
top- Wolfgang B. Jurkat, D. J. F. Nonnenmacher, A Hake-type property for the -integral and its relation to other integration processes
- Wolfgang B. Jurkat, D. J. F. Nonnenmacher, The fundamental theorem for the -integral on more general sets and a corresponding divergence theorem with singularities
- W. Jurkat, D. Nonnenmacher, A theory of non-absolutely convergent integrals in Rn with singularities on a regular boundary
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