Distributions and measures on the boundary of a tree
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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.
- University of Maryland, College Park United States
- George Mason University United States
- University of Maryland, College Park United States
- University of Maryland United States
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, Trees, space of distributions, Distributions, Boundary behavior of harmonic functions in higher dimensions, Analysis
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, Trees, space of distributions, Distributions, Boundary behavior of harmonic functions in higher dimensions, Analysis
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