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Pregled bibliografske jedinice broj: 836475

Exponential decay of measures and Tauberian theorems


Mimica, Ante
Exponential decay of measures and Tauberian theorems // Journal of mathematical analysis and applications, 440 (2016), 1; 266-285 doi:10.1016/j.jmaa.2016.03.042 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 836475 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Exponential decay of measures and Tauberian theorems

Autori
Mimica, Ante

Izvornik
Journal of mathematical analysis and applications (0022-247X) 440 (2016), 1; 266-285

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Bernstein function ; completely monotone function ; Laplace transform ; Levy measure ; non-local operator ; Tauberian theorems

Sažetak
We study behavior of a measure on r0, 8q by considering its Laplace trans- form. If it is possible to extend the Laplace transform to a complex half-plane containing the imaginary axis, then the exponential decay of the tail of the measure occurs and under certain assumptions we show that the rate of the decay is given by the so called abscissa of convergence and extend the result of Nakagawa from [Nak05]. Under stronger assump- tions we give behavior of density of the measure by considering its Laplace transform. In situations when there is no exponential decay we study occurrence of heavy tails and give an application in the theory of non-local equations.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2013-11-3526 - Stohastičke metode u analitičkim i primijenjenim problemima (SMAAP) (Vondraček, Zoran, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Ante Mimica (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com www.sciencedirect.com

Citiraj ovu publikaciju:

Mimica, Ante
Exponential decay of measures and Tauberian theorems // Journal of mathematical analysis and applications, 440 (2016), 1; 266-285 doi:10.1016/j.jmaa.2016.03.042 (međunarodna recenzija, članak, znanstveni)
Mimica, A. (2016) Exponential decay of measures and Tauberian theorems. Journal of mathematical analysis and applications, 440 (1), 266-285 doi:10.1016/j.jmaa.2016.03.042.
@article{article, author = {Mimica, Ante}, year = {2016}, pages = {266-285}, DOI = {10.1016/j.jmaa.2016.03.042}, keywords = {Bernstein function, completely monotone function, Laplace transform, Levy measure, non-local operator, Tauberian theorems}, journal = {Journal of mathematical analysis and applications}, doi = {10.1016/j.jmaa.2016.03.042}, volume = {440}, number = {1}, issn = {0022-247X}, title = {Exponential decay of measures and Tauberian theorems}, keyword = {Bernstein function, completely monotone function, Laplace transform, Levy measure, non-local operator, Tauberian theorems} }
@article{article, author = {Mimica, Ante}, year = {2016}, pages = {266-285}, DOI = {10.1016/j.jmaa.2016.03.042}, keywords = {Bernstein function, completely monotone function, Laplace transform, Levy measure, non-local operator, Tauberian theorems}, journal = {Journal of mathematical analysis and applications}, doi = {10.1016/j.jmaa.2016.03.042}, volume = {440}, number = {1}, issn = {0022-247X}, title = {Exponential decay of measures and Tauberian theorems}, keyword = {Bernstein function, completely monotone function, Laplace transform, Levy measure, non-local operator, Tauberian theorems} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet


Citati:





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