A generalization of the Banach-Steinhaus theorem for finite part limits

DOI10.1016/S0019-3577(09)80009-8zbMath1368.46005arXiv1407.2842OpenAlexW2549214093MaRDI QIDQ523234

Jasson Vindas, Ricardo Estrada

Publication date: 20 April 2017

Published in: Indagationes Mathematicae. New Series, Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2842

zbMATH Keywords

distributionsprime number theoremBanach-Steinhaus theoremHadamard finite partfinite part limitsasymptotic behavior of generalized function

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Distributions, generalized functions, distribution spaces (46F99) Distribution of primes (11N05) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (2)

The composition of the distributions x−λlnsx− and x+−r/λ ⋮ On powers of the compositions involving Dirac-delta and infinitely differentiable functions

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