Broucke, Frederik; Debruyne, Gregory; Vindas, Jasson An asymptotic analysis of the Fourier-Laplace transforms of certain oscillatory functions. (English) Zbl 1457.42010 J. Math. Anal. Appl. 494, No. 1, Article ID 124450, 15 p. (2021). MSC: 42A38 44A15 PDFBibTeX XMLCite \textit{F. Broucke} et al., J. Math. Anal. Appl. 494, No. 1, Article ID 124450, 15 p. (2021; Zbl 1457.42010) Full Text: DOI arXiv Link
Debruyne, Gregory; Seifert, David Optimality of the quantified Ingham-Karamata theorem for operator semigroups with general resolvent growth. (English) Zbl 07135252 Arch. Math. 113, No. 6, 617-627 (2019). MSC: 47D06 40E05 44A10 34D05 PDFBibTeX XMLCite \textit{G. Debruyne} and \textit{D. Seifert}, Arch. Math. 113, No. 6, 617--627 (2019; Zbl 07135252) Full Text: DOI arXiv
Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard Indices of O-regular variation for weight functions and weight sequences. (English) Zbl 1436.46029 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3659-3697 (2019). Reviewer: José Bonet (Valencia) MSC: 46E10 26A12 26A48 44A15 46E30 PDFBibTeX XMLCite \textit{J. Jiménez-Garrido} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3659--3697 (2019; Zbl 1436.46029) Full Text: DOI arXiv
Debruyne, Gregory; Vindas, Jasson Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior. (English) Zbl 1444.44001 J. Anal. Math. 138, No. 2, 799-833 (2019). Reviewer: David Seifert (Newcastle upon Tyne) MSC: 44A10 40E05 47D06 PDFBibTeX XMLCite \textit{G. Debruyne} and \textit{J. Vindas}, J. Anal. Math. 138, No. 2, 799--833 (2019; Zbl 1444.44001) Full Text: DOI arXiv Link
Debruyne, Gregory; Seifert, David An abstract approach to optimal decay of functions and operator semigroups. (English) Zbl 07114750 Isr. J. Math. 233, No. 1, 439-451 (2019). MSC: 47D06 44A10 40E05 PDFBibTeX XMLCite \textit{G. Debruyne} and \textit{D. Seifert}, Isr. J. Math. 233, No. 1, 439--451 (2019; Zbl 07114750) Full Text: DOI arXiv Link
Hartlapp, Markus A quantified Tauberian theorem for the Laplace-Stieltjes transform. (English) Zbl 1398.40016 Arch. Math. 111, No. 1, 71-83 (2018). Reviewer: Edward Omey (Brussels) MSC: 40E05 40A05 40E10 44A10 PDFBibTeX XMLCite \textit{M. Hartlapp}, Arch. Math. 111, No. 1, 71--83 (2018; Zbl 1398.40016) Full Text: DOI arXiv
Buldygin, V. V.; Pavlenkov, V. V. Karamata theorem for regularly log-periodic functions. (English. Ukrainian original) Zbl 1278.26002 Ukr. Math. J. 64, No. 11, 1635-1657 (2013); translation from Ukr. Mat. Zh. 64, No. 11, 1443-1463 (2012). Reviewer: Edward Omey (Brussels) MSC: 26A12 44A20 45M05 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Pavlenkov}, Ukr. Math. J. 64, No. 11, 1635--1657 (2013; Zbl 1278.26002); translation from Ukr. Mat. Zh. 64, No. 11, 1443--1463 (2012) Full Text: DOI
Korevaar, J. A century of complex Tauberian theory. (English) Zbl 1001.40007 Bull. Am. Math. Soc., New Ser. 39, No. 4, 475-531 (2002). MSC: 40E05 11M45 30B50 44A10 47A10 PDFBibTeX XMLCite \textit{J. Korevaar}, Bull. Am. Math. Soc., New Ser. 39, No. 4, 475--531 (2002; Zbl 1001.40007) Full Text: DOI
Pilipović, S.; Stanković, B. Tauberian theorems for integral transforms of distributions. (English) Zbl 0921.46035 Acta Math. Hung. 74, No. 1-2, 135-153 (1997). MSC: 46F12 40E05 44A10 44A15 PDFBibTeX XMLCite \textit{S. Pilipović} and \textit{B. Stanković}, Acta Math. Hung. 74, No. 1--2, 135--153 (1997; Zbl 0921.46035) Full Text: DOI
de Haan, L.; Stadtmüller, U. Dominated variation and related concepts and Tauberian theorems for Laplace transforms. (English) Zbl 0581.44003 J. Math. Anal. Appl. 108, 344-365 (1985). Reviewer: B.Rodriguez-Salinas MSC: 44A10 40E05 PDFBibTeX XMLCite \textit{L. de Haan} and \textit{U. Stadtmüller}, J. Math. Anal. Appl. 108, 344--365 (1985; Zbl 0581.44003) Full Text: DOI
Chebotarev, A. M. Formula for the second term of the logarithmic asymptotic of Laplace integrals. (English. Russian original) Zbl 0537.60020 Math. Notes 34, 620-625 (1984); translation from Mat. Zametki 34, No. 2, 273-282 (1983). Reviewer: M.Iosifescu MSC: 60F10 44A99 PDFBibTeX XMLCite \textit{A. M. Chebotarev}, Math. Notes 34, 620--625 (1984; Zbl 0537.60020); translation from Mat. Zametki 34, No. 2, 273--282 (1983) Full Text: DOI
Stadtmüller, U. Tauberian theorems for Laplace and Stieltjes transforms. (English) Zbl 0484.44001 J. Math. Anal. Appl. 86, 146-156 (1982). MSC: 44A10 40E05 26A12 PDFBibTeX XMLCite \textit{U. Stadtmüller}, J. Math. Anal. Appl. 86, 146--156 (1982; Zbl 0484.44001) Full Text: DOI
Vaaler, Jeffrey D. A Tauberian theorem related to Weyl’s criterion. (English) Zbl 0342.10033 J. Number Theory 9, 71-78 (1977). MSC: 11K06 44A10 11J71 40E05 PDFBibTeX XMLCite \textit{J. D. Vaaler}, J. Number Theory 9, 71--78 (1977; Zbl 0342.10033) Full Text: DOI
Soni, K.; Soni, R. P. Slowly varying functions and asymptotic behavior of a class of integral transforms. I. (English) Zbl 0294.44003 J. Math. Anal. Appl. 49, 166-179 (1975). MSC: 44A15 PDFBibTeX XMLCite \textit{K. Soni} and \textit{R. P. Soni}, J. Math. Anal. Appl. 49, 166--179 (1975; Zbl 0294.44003) Full Text: DOI
Jordan, G. S. Regularly varying functions and convolutions with real kernels. (English) Zbl 0287.40006 Trans. Am. Math. Soc. 194, 177-194 (1974). MSC: 40E05 44A35 30D15 30D35 45M05 PDFBibTeX XMLCite \textit{G. S. Jordan}, Trans. Am. Math. Soc. 194, 177--194 (1974; Zbl 0287.40006) Full Text: DOI
Rangachari, M. S. On a generalization of the Laplace transform. (English) Zbl 0176.10303 Compos. Math. 19, 167-195 (1968). Reviewer: C. T. Rajagopal MSC: 44A10 40E05 40G05 PDFBibTeX XMLCite \textit{M. S. Rangachari}, Compos. Math. 19, 167--195 (1968; Zbl 0176.10303) Full Text: Numdam EuDML