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Regularity properties of distributions through sequences of functions

(2013) MONATSHEFTE FUR MATHEMATIK. 170(2). p.227-237
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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:

MLA
Pilipović, Stevan, Dimitris Scarpalézos, and Jasson Vindas Diaz. “Regularity Properties of Distributions Through Sequences of Functions.” MONATSHEFTE FUR MATHEMATIK 170.2 (2013): 227–237. Print.
APA
Pilipović, S., Scarpalézos, D., & Vindas Diaz, J. (2013). Regularity properties of distributions through sequences of functions. MONATSHEFTE FUR MATHEMATIK, 170(2), 227–237.
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): 227–237.
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.
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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