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An elementary approach to asymptotic behavior in the Cesaro sense and applications to Stieltjes and Laplace transforms

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Quasianalytic and non-quasianalytic classes in Fourier analysis and approximation theory
Abstract
We present an elementary approach to asymptotic behavior of generalized functions in the Cesaro sense. Our approach is based on Yosida's subspace of Mikusinski operators. Applications to Laplace and Stieltjes transforms are given.
Keywords
Asymptotics in the Cesaro sense, Asymptotic behavior of generalized functions, Laplace transform, Stieltjes transform

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Citation

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Chicago
Nemzer, Dennis, and Jasson Vindas Diaz. 2015. “An Elementary Approach to Asymptotic Behavior in the Cesaro Sense and Applications to Stieltjes and Laplace Transforms.” Ed. Jelena Aleksić, Michael Kunzinger, and Nenad Teofanov. Novi Sad Journal of Mathematics 45 (1): 111–124.
APA
Nemzer, D., & Vindas Diaz, J. (2015). An elementary approach to asymptotic behavior in the Cesaro sense and applications to Stieltjes and Laplace transforms. (J. Aleksić, M. Kunzinger, & N. Teofanov, Eds.)NOVI SAD JOURNAL OF MATHEMATICS, 45(1), 111–124.
Vancouver
1.
Nemzer D, Vindas Diaz J. An elementary approach to asymptotic behavior in the Cesaro sense and applications to Stieltjes and Laplace transforms. Aleksić J, Kunzinger M, Teofanov N, editors. NOVI SAD JOURNAL OF MATHEMATICS. 2015;45(1):111–24.
MLA
Nemzer, Dennis, and Jasson Vindas Diaz. “An Elementary Approach to Asymptotic Behavior in the Cesaro Sense and Applications to Stieltjes and Laplace Transforms.” Ed. Jelena Aleksić, Michael Kunzinger, & Nenad Teofanov. NOVI SAD JOURNAL OF MATHEMATICS 45.1 (2015): 111–124. Print.
@article{6967909,
  abstract     = {We present an elementary approach to asymptotic behavior of generalized functions in the Cesaro sense. Our approach is based on Yosida's subspace of Mikusinski operators. Applications to Laplace and Stieltjes transforms are given.},
  author       = {Nemzer, Dennis and Vindas Diaz, Jasson},
  editor       = {Aleksi\'{c}, Jelena and Kunzinger, Michael and Teofanov, Nenad},
  issn         = {1450-5444},
  journal      = {NOVI SAD JOURNAL OF MATHEMATICS},
  keyword      = {Asymptotics in the Cesaro sense,Asymptotic behavior of generalized functions,Laplace transform,Stieltjes transform},
  language     = {eng},
  number       = {1},
  pages        = {111--124},
  title        = {An elementary approach to asymptotic behavior in the Cesaro sense and applications to Stieltjes and Laplace transforms},
  url          = {http://www.dmi.uns.ac.rs/nsjom/Papers/45\_1/NSJOM\_45\_1\_111\_124.pdf},
  volume       = {45},
  year         = {2015},
}