Edit Profile (opens in new tab) Talvila, Erik Co-Author Distance Author ID: talvila.erik Published as: Talvila, Erik Documents Indexed: 35 Publications since 1999 Reviewing Activity: 17 Reviews Co-Authors: 5 Co-Authors with 8 Joint Publications 81 Co-Co-Authors Co-Authors 27 single-authored 2 Loeb, Peter A. 2 Siegel, David 2 Wiersma, Matthew 1 Heikkilä, Seppo V. 1 Mohanty, Parasar all top 5 Serials 9 Real Analysis Exchange 4 American Mathematical Monthly 3 Illinois Journal of Mathematics 3 Scientiae Mathematicae Japonicae 2 Czechoslovak Mathematical Journal 2 Mathematica Slovaca 2 Journal of Classical Analysis 1 Canadian Mathematical Bulletin 1 Mathematica Bohemica 1 Dynamic Systems and Applications 1 Potential Analysis 1 The Journal of Fourier Analysis and Applications 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Abstract and Applied Analysis 1 Journal of Mathematical Inequalities 1 Advances in Pure and Applied Mathematics 1 Atlantic Electronic Journal of Mathematics all top 5 Fields 28 Real functions (26-XX) 13 Functional analysis (46-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 4 Measure and integration (28-XX) 4 Numerical analysis (65-XX) 3 Potential theory (31-XX) 3 Partial differential equations (35-XX) 3 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 132 times in 95 Documents Cited by ▼ Year ▼ The distributional Denjoy integral. Zbl 1154.26011Talvila, Erik 20 2008 Sharp growth estimates for modified Poisson integrals in a half space. Zbl 0987.31003Siegel, David; Talvila, Erik 16 2001 Necessary and sufficient conditions for differentiating under the integral sign. Zbl 0990.26008Talvila, Erik 14 2001 Henstock-Kurzweil Fourier transforms. Zbl 1037.42007Talvila, Erik 14 2002 Pointwise growth estimates of the Riesz potential. Zbl 0952.35017Siegel, David; Talvila, Erik 11 1999 The regulated primitive integral. Zbl 1207.26018Talvila, Erik 10 2009 Lusin’s theorem and Bochner integration. Zbl 1069.28007Loeb, Peter A.; Talvila, Erik 9 2004 Convolutions with the continuous primitive integral. Zbl 1192.46039Talvila, Erik 7 2009 Limits and Henstock integrals of products. Zbl 1014.26014Talvila, Erik 5 2000 Distributions, their primitives and integrals with applications to distributional differential equations. Zbl 1321.46043Heikkilä, Seppo; Talvila, Erik 4 2013 Fourier series with the continuous primitive integral. Zbl 1246.42003Talvila, Erik 3 2012 Estimates of Henstock-Kurzweil Poisson integrals. Zbl 1073.26004Talvila, Erik 3 2005 Estimates of the remainder in Taylor’s theorem using the Henstock-Kurzweil integral. Zbl 1081.26002Talvila, Erik 2 2005 Integrals and Banach spaces for finite order distributions. Zbl 1249.26012Talvila, Erik 2 2012 Optimal error estimates for corrected trapezoidal rules. Zbl 1269.26012Talvila, Erik; Wiersma, Matthew 2 2012 The continuous primitive integral in the plane. Zbl 1451.26013Talvila, Erik 2 2020 Some divergent trigonometric integrals. Zbl 0982.65025Talvila, Erik 2 2001 Simple derivation of basic quadrature formulas. Zbl 1291.65073Talvila, Erik; Wiersma, Matthew 1 2012 Continuity in the Alexiewicz norm. Zbl 1112.26011Talvila, Erik 1 2006 Fourier transform inversion using an elementary differential equation and a contour integral. Zbl 1422.42007Talvila, Erik 1 2019 Rapidly growing Fourier integrals. Zbl 1004.42012Talvila, Erik 1 2001 The one-dimensional heat equation in the Alexiewicz norm. Zbl 1515.35111Talvila, Erik 1 2015 The \(L^p\) primitive integral. Zbl 1349.46031Talvila, Erik 1 2014 The continuous primitive integral in the plane. Zbl 1451.26013Talvila, Erik 2 2020 Fourier transform inversion using an elementary differential equation and a contour integral. Zbl 1422.42007Talvila, Erik 1 2019 The one-dimensional heat equation in the Alexiewicz norm. Zbl 1515.35111Talvila, Erik 1 2015 The \(L^p\) primitive integral. Zbl 1349.46031Talvila, Erik 1 2014 Distributions, their primitives and integrals with applications to distributional differential equations. Zbl 1321.46043Heikkilä, Seppo; Talvila, Erik 4 2013 Fourier series with the continuous primitive integral. Zbl 1246.42003Talvila, Erik 3 2012 Integrals and Banach spaces for finite order distributions. Zbl 1249.26012Talvila, Erik 2 2012 Optimal error estimates for corrected trapezoidal rules. Zbl 1269.26012Talvila, Erik; Wiersma, Matthew 2 2012 Simple derivation of basic quadrature formulas. Zbl 1291.65073Talvila, Erik; Wiersma, Matthew 1 2012 The regulated primitive integral. Zbl 1207.26018Talvila, Erik 10 2009 Convolutions with the continuous primitive integral. Zbl 1192.46039Talvila, Erik 7 2009 The distributional Denjoy integral. Zbl 1154.26011Talvila, Erik 20 2008 Continuity in the Alexiewicz norm. Zbl 1112.26011Talvila, Erik 1 2006 Estimates of Henstock-Kurzweil Poisson integrals. Zbl 1073.26004Talvila, Erik 3 2005 Estimates of the remainder in Taylor’s theorem using the Henstock-Kurzweil integral. Zbl 1081.26002Talvila, Erik 2 2005 Lusin’s theorem and Bochner integration. Zbl 1069.28007Loeb, Peter A.; Talvila, Erik 9 2004 Henstock-Kurzweil Fourier transforms. Zbl 1037.42007Talvila, Erik 14 2002 Sharp growth estimates for modified Poisson integrals in a half space. Zbl 0987.31003Siegel, David; Talvila, Erik 16 2001 Necessary and sufficient conditions for differentiating under the integral sign. Zbl 0990.26008Talvila, Erik 14 2001 Some divergent trigonometric integrals. Zbl 0982.65025Talvila, Erik 2 2001 Rapidly growing Fourier integrals. Zbl 1004.42012Talvila, Erik 1 2001 Limits and Henstock integrals of products. Zbl 1014.26014Talvila, Erik 5 2000 Pointwise growth estimates of the Riesz potential. Zbl 0952.35017Siegel, David; Talvila, Erik 11 1999 all cited Publications top 5 cited Publications all top 5 Cited by 136 Authors 7 Talvila, Erik 5 Liu, Wei 5 Mendoza Torres, Francisco Javier 5 Ye, Guoju 4 Arredondo, Juan H. 4 Deng, Guantie 4 Escamilla Reyna, Juan Alberto 4 Sánchez Perales, Salvador 4 Zhao, Dafang 3 Heikkilä, Seppo V. 3 Kalaj, David 3 Mendoza, Francisco Javier 3 Qiao, Lei 3 Ren, Yudong 2 Carl, Siegfried 2 Carrillo de la Plata, José Antonio 2 Chen, Shaolin 2 Costa, David Goldstein 2 Flores-Medina, Oswaldo 2 Gladiali, Francesca 2 Grossi, Massimo 2 Hoffmann, Franca 2 Lee, Tuo-Yeong 2 Li, Tongxing 2 Reyes, Alfredo 2 Slavík, Antonín 2 Tehrani, Hossein Torabi 2 Troestler, Christophe 2 You, Xuexiao 1 Abdelkefi, Chokri 1 Acala, Nestor G. 1 An, Tianqing 1 Bellout, Mathias C. 1 Beznea, Lucian 1 Boralugoda, Sanath K. 1 Bugajewski, Dariusz 1 Calvez, Vincent 1 Černý, Aleš 1 Chen, Hongwei 1 Chen, Le 1 Cheng, Jian 1 Cîmpean, Iulian 1 Collins, Benoît 1 Colombo, Rinaldo M. 1 Creutz, Paul 1 Darbenas, Zymantas 1 Davis, John M. 1 De Silva, Kaushika 1 Došlá, Zuzana 1 Duarte, Ronaldo C. 1 Dubeau, François 1 Falkner, Neil 1 Federson, Márcia 1 Fenzi, Luca 1 Ferreira, Lucas Catão de Freitas 1 Fonseca, Irene 1 Foxall, Eric 1 Francfort, Gilles A. 1 Frasson, Miguel V. S. 1 Fredette, Marc 1 Ganegoda, Naleen Chaminda 1 Gess, Benjamin 1 Gong, Zengtai 1 Gravagne, Ian A. 1 Gulgowski, Jacek 1 Gutiérrez Méndez, Luis Ángel 1 Gwiazda, Piotr 1 Hao, Yadong 1 Hazarika, Bipan 1 Holland, Matthew J. 1 Hsing, Tailen 1 Hu, Guannan 1 Huang, Jinjin 1 Ikeda, Kazushi 1 Kalita, Hemanta 1 Kasprzak, Piotr 1 Kawasaki, Toshiharu 1 Khadzhiev, Dzhavvat 1 Khribi, Lotfi 1 Kou, Kit-Ian 1 Kumari, Sushma 1 Kupershmidt, Boris A. 1 Kyriakou, Ioannis 1 Leoni, Giovanni 1 Liang, Bing 1 MacGibbon, Brenda 1 Mainini, Edoardo 1 Maldeniya, Amila J. 1 Malý, Jan 1 Marks, Robert J. II 1 Maurelli, Mario 1 Mesquita, Jaqueline Godoy 1 Michiels, Wim 1 Moll, Salvador 1 Monteiro, Giselle Antunes 1 da Silva Montenegro, Marcelo 1 Morales Macías, María Guadalupe 1 Morales, María Guadalupe 1 Moroz, Vitaly 1 Musial, Paul M. ...and 36 more Authors all top 5 Cited in 65 Serials 6 Journal of Mathematical Analysis and Applications 6 Abstract and Applied Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Nonlinear Science and Applications 3 Czechoslovak Mathematical Journal 3 Calculus of Variations and Partial Differential Equations 3 Journal of Classical Analysis 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Dynamics and Differential Equations 2 Journal of Inequalities and Applications 2 Boundary Value Problems 1 International Journal of Mathematical Education in Science and Technology 1 Journal d’Analyse Mathématique 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Fuzzy Sets and Systems 1 Illinois Journal of Mathematics 1 Journal of Applied Probability 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Real Analysis Exchange 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Circuits, Systems, and Signal Processing 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Journal of Integral Equations and Applications 1 Machine Learning 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Communications in Statistics. Simulation and Computation 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Topological Methods in Nonlinear Analysis 1 Russian Journal of Mathematical Physics 1 Georgian Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Electronic Journal of Probability 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Fractional Calculus & Applied Analysis 1 Computational Geosciences 1 Journal of Nonlinear Mathematical Physics 1 Quantitative Finance 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Function Spaces and Applications 1 The Australian Journal of Mathematical Analysis and Applications 1 Complex Variables and Elliptic Equations 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 Electronic Research Announcements in Mathematical Sciences 1 Advances in Calculus of Variations 1 Annals of Functional Analysis 1 Analysis and Mathematical Physics 1 Minimax Theory and its Applications 1 Electronic Research Archive all top 5 Cited in 29 Fields 40 Real functions (26-XX) 18 Partial differential equations (35-XX) 18 Functional analysis (46-XX) 15 Potential theory (31-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Ordinary differential equations (34-XX) 8 Measure and integration (28-XX) 8 Numerical analysis (65-XX) 7 Operator theory (47-XX) 6 Probability theory and stochastic processes (60-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 3 Functions of a complex variable (30-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 3 Biology and other natural sciences (92-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year