Academic Journal
Distributions and measures on the boundary of a tree
| Title: | Distributions and measures on the boundary of a tree |
|---|---|
| Authors: | Flavia Colonna, Joel M. Cohen, David Singman |
| Source: | Journal of Mathematical Analysis and Applications. 293:89-107 |
| Publisher Information: | Elsevier BV, 2004. |
| Publication Year: | 2004 |
| Subject Terms: | Distributions and ultradistributions as boundary values of analytic functions, space of measures, ultrametric spaces, Applied Mathematics, Spaces of measures, convergence of measures, boundary behavior of polyharmonic functions, Measures, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Trees, space of distributions, Distributions, 0101 mathematics, Boundary behavior of harmonic functions in higher dimensions, Analysis |
| Description: | The authors study some classes of distributions, relating them to one another and to the space of Borel measures. One main result rests on a property introduced, namely ``absolute summability'' for distributions: a distribution \(\mu\) on \(\Omega\) is called absolutely summable if for any countable collection \((I_n)\) of pairwise disjoint intervals, \(\sum\mu(I_n)\) is absolutely convergent. Then it is proved that the space of measures is identical to the space of distributions which are absolutely summable. |
| Document Type: | Article |
| File Description: | application/xml |
| Language: | English |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2003.12.015 |
| Access URL: | https://zbmath.org/2082131 https://doi.org/10.1016/j.jmaa.2003.12.015 https://core.ac.uk/display/81145133 http://math.gmu.edu/%7Edsingman/measure.pdf http://www.sciencedirect.com/science/article/pii/S0022247X04000241 https://www.sciencedirect.com/science/article/pii/S0022247X04000241 |
| Rights: | Elsevier Non-Commercial |
| Accession Number: | edsair.doi.dedup.....3f47f608215d66b037fe9e2f7cea596c |
| Database: | OpenAIRE |
| ISSN: | 0022247X |
|---|---|
| DOI: | 10.1016/j.jmaa.2003.12.015 |