Regularity properties of distributions through sequences of functions
- Author
- Stevan Pilipović, Dimitris Scarpalézos and Jasson Vindas Diaz (UGent)
- Organization
- Abstract
- We give necessary and sufficient criteria for a distribution to be smooth or uniformly Hölder continuous in terms of approximation sequences by smooth functions; in particular, in terms of those arising as regularizations (T∗ϕ_n) .
- Keywords
- Regularizations, Hölder–Zygmund spaces, Sequences of smooth functions, Regularity of Schwartz distributions, Hölder continuity, Generalized functions
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-3194122
- MLA
- Pilipović, Stevan, et al. “Regularity Properties of Distributions through Sequences of Functions.” MONATSHEFTE FUR MATHEMATIK, vol. 170, no. 2, 2013, pp. 227–37, doi:10.1007/s00605-012-0410-0.
- APA
- Pilipović, S., Scarpalézos, D., & Vindas Diaz, J. (2013). Regularity properties of distributions through sequences of functions. MONATSHEFTE FUR MATHEMATIK, 170(2), 227–237. https://doi.org/10.1007/s00605-012-0410-0
- Chicago author-date
- Pilipović, Stevan, Dimitris Scarpalézos, and Jasson Vindas Diaz. 2013. “Regularity Properties of Distributions through Sequences of Functions.” MONATSHEFTE FUR MATHEMATIK 170 (2): 227–37. https://doi.org/10.1007/s00605-012-0410-0.
- Chicago author-date (all authors)
- Pilipović, Stevan, Dimitris Scarpalézos, and Jasson Vindas Diaz. 2013. “Regularity Properties of Distributions through Sequences of Functions.” MONATSHEFTE FUR MATHEMATIK 170 (2): 227–237. doi:10.1007/s00605-012-0410-0.
- Vancouver
- 1.Pilipović S, Scarpalézos D, Vindas Diaz J. Regularity properties of distributions through sequences of functions. MONATSHEFTE FUR MATHEMATIK. 2013;170(2):227–37.
- IEEE
- [1]S. Pilipović, D. Scarpalézos, and J. Vindas Diaz, “Regularity properties of distributions through sequences of functions,” MONATSHEFTE FUR MATHEMATIK, vol. 170, no. 2, pp. 227–237, 2013.
@article{3194122,
abstract = {{We give necessary and sufficient criteria for a distribution to be smooth or uniformly Hölder continuous in terms of approximation sequences by smooth functions; in particular, in terms of those arising as regularizations (T∗ϕ_n) .}},
author = {{Pilipović, Stevan and Scarpalézos, Dimitris and Vindas Diaz, Jasson}},
issn = {{0026-9255}},
journal = {{MONATSHEFTE FUR MATHEMATIK}},
keywords = {{Regularizations,Hölder–Zygmund spaces,Sequences of smooth functions,Regularity of Schwartz distributions,Hölder continuity,Generalized functions}},
language = {{eng}},
number = {{2}},
pages = {{227--237}},
title = {{Regularity properties of distributions through sequences of functions}},
url = {{http://dx.doi.org/10.1007/s00605-012-0410-0}},
volume = {{170}},
year = {{2013}},
}
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