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Erik Talvila

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All published works
Action Title Year Authors
+ PDF Chat The Fourier transform with Henstock--Kurzweil and continuous primitive integrals 2025 Erik Talvila
+ PDF Chat The Fourier transform in Lebesgue spaces 2024 Erik Talvila
+ Sharp norm estimates for the classical heat equation 2023 Erik Talvila
+ The Fourier transform in Lebesgue spaces 2023 Erik Talvila
+ The heat equation with the $L^p$ primitive integral 2023 Erik Talvila
+ Fourier transform inversion: Bounded variation, polynomial growth, Henstock--Stieltjes integration 2022 Erik Talvila
+ Fourier transform inversion in the Alexiewicz norm 2022 Erik Talvila
+ PDF Chat Fourier transform inversion in the Alexiewicz norm 2022 Erik Talvila
+ Errata for “Henstock–Kurzweil Fourier transforms” 2022 Erik Talvila
+ Elementary Numerical Methods for Double Integrals 2021 Cameron Jason Grant
Erik Talvila
+ PDF Chat Fourier transform inversion in the Alexiewicz norm 2021 Erik Talvila
+ Variations on least squares 2020 Erik Talvila
+ PDF Chat The Continuous Primitive Integral in the Plane 2020 Erik Talvila
+ Variations on least squares 2020 Erik Talvila
+ PDF Chat Fourier Transform Inversion Using an Elementary Differential Equation and a Contour Integral 2019 Erik Talvila
+ The continuous primitive integral in the plane 2019 Erik Talvila
+ Elementary numerical methods for double integrals 2019 Cameron Jason Grant
Erik Talvila
+ Elementary numerical methods for double integrals 2019 Cameron Grant
Erik Talvila
+ The continuous primitive integral in the plane 2019 Erik Talvila
+ You Know You’re a Mathematician If… 2018 Erik Talvila
+ Fourier transform inversion using an elementary differential equation and a contour integral 2018 Erik Talvila
+ Fourier transform inversion using an elementary differential equation and a contour integral 2018 Erik Talvila
+ Higher order corrected trapezoidal rules in Lebesgue and Alexiewicz spaces 2016 Erik Talvila
+ PDF Chat Higher order corrected trapezoidal rules in Lebesgue and Alexiewicz spaces 2016 Erik Talvila
+ Higher order corrected trapezoidal rules in Lebesgue and Alexiewicz spaces 2016 Erik Talvila
+ PDF Chat The one-dimensional heat equation in the Alexiewicz norm 2015 Erik Talvila
+ The one-dimensional heat equation in the Alexiewicz norm 2015 Erik Talvila
+ The one-dimensional heat equation in the Alexiewicz norm 2015 Erik Talvila
+ PDF Chat The L p primitive integral 2014 Erik Talvila
+ 97.06 Trigonometry of The Gold-Bug 2013 Erik Talvila
+ Distributions, their primitives and integrals with applications to differential equations 2013 Seppo Heikkilä
Erik Talvila
+ Distributions, their primitives and integrals with applications to differential equations 2013 Seppo Heikkilä
Erik Talvila
+ The $L^p$ primitive integral 2012 Erik Talvila
+ Trigonometry of The Gold-Bug 2012 Erik Talvila
+ Optimal error estimates for corrected trapezoidal rules 2012 Erik Talvila
Matthew Wiersma
+ PDF Chat Integrals and Banach spaces for finite order distributions 2012 Erik Talvila
+ PDF Chat Optimal error estimates for corrected trapezoidal rules 2012 Erik Talvila
Matthew Wiersma
+ Simple derivation of basic quadrature formulas 2012 Erik Talvila
Matthew Wiersma
+ Optimal error estimates for corrected trapezoidal rules 2012 Erik Talvila
Matthew Wiersma
+ Trigonometry of The Gold-Bug 2012 Erik Talvila
+ Integrals and Banach spaces for finite order distributions 2011 Erik Talvila
+ PDF Chat Fourier Series with the Continuous Primitive Integral 2011 Erik Talvila
+ Fourier series with the continuous primitive integral 2011 Erik Talvila
+ SIMPLE DERIVATION OF BASIC QUADRATURE FORMULAS 2011 Erik Talvila
Matthew Wiersma
+ Integrals and Banach spaces for finite order distributions 2011 Erik Talvila
+ Fourier series with the continuous primitive integral 2011 Erik Talvila
+ PDF Chat Convolutions with the Continuous Primitive Integral 2009 Erik Talvila
+ The regulated primitive integral 2009 Erik Talvila
+ Convolutions with the continuous primitive integral 2009 Erik Talvila
+ PDF Chat The regulated primitive integral 2009 Erik Talvila
+ Characterizing Integrals of Riemann Integrable Functions 2008 Erik Talvila
+ Review of "Garden of integrals" 2008 Erik Talvila
+ PDF Chat The Distributional Denjoy Integral 2008 Erik Talvila
+ The distributional Denjoy integral 2006 Erik Talvila
+ Continuity in the Alexiewicz norm 2006 Erik Talvila
+ PDF Chat Continuity in the Alexiewicz norm 2006 Erik Talvila
+ The distributional Denjoy integral 2006 Erik Talvila
+ PDF Chat Estimates of the Remainder in Taylor's Theorem Using the Henstock-Kurzweil Integral 2005 Erik Talvila
+ PDF Chat Estimates of Henstock-Kurzweil Poisson Integrals 2005 Erik Talvila
+ LUSIN'S THEOREM AND BOCHNER INTEGRATION 2004 Peter A. Loeb
Erik Talvila
+ Estimates of Henstock--Kurzweil Poisson integrals 2004 Erik Talvila
+ A Product Convergence Theorem for Henstock-Kurzweil Integrals 2004 Parasar Mohanty
Erik Talvila
+ Estimates of Henstock--Kurzweil Poisson integrals 2004 Erik Talvila
+ Estimates of the remainder in Taylor's theorem using the Henstock--Kurzweil integral 2004 Erik Talvila
+ Lusin's Theorem and Bochner Integration 2004 Peter A. Loeb
Erik Talvila
+ A product convergence theorem for Henstock--Kurzweil integrals 2003 Parasar Mohanty
Erik Talvila
+ PDF Chat Henstock-Kurzweil Fourier transforms 2002 Erik Talvila
+ Henstock--Kurzweil Fourier transforms 2002 Erik Talvila
+ PDF Chat Rapidly Growing Fourier Integrals 2001 Erik Talvila
+ PDF Chat Rapidly Growing Fourier Integrals 2001 Erik Talvila
+ Necessary and Sufficient Conditions for Differentiating Under the Integral Sign 2001 Erik Talvila
+ PDF Chat Necessary and Sufficient Conditions for Differentiating under the Integral Sign 2001 Erik Talvila
+ Some Divergent Trigonometric Integrals 2001 Erik Talvila
+ PDF Chat Some Divergent Trigonometric Integrals 2001 Erik Talvila
+ Covering theorems and Lebesgue integration 2001 Peter A. Loeb
Erik Talvila
+ None 2001 David Siegel
Erik Talvila
+ Sharp Growth Estimates for Modified Poisson Integrals in a Half Space 2001 David Siegel
Erik Talvila
+ Necessary and sufficient conditions for differentiating under the integral sign 2001 Erik Talvila
+ Rapidly growing Fourier integrals 2001 Erik Talvila
+ Some divergent trigonometric integrals 2001 Erik Talvila
+ Limit theorems for products of Henstock integrable functions 2000 Erik Talvila
+ Growth estimates and Phragmén-Lindelöf principles for half space problems 1997 Erik Talvila
+ PDF Chat Uniqueness for the<i>n</i>-dimensional half space Dirichlet problem 1996 David Siegel
Erik Talvila
Common Coauthors
Coauthor Papers Together
Matthew Wiersma 5
David Siegel 3
Peter A. Loeb 3
Cameron Jason Grant 2
Seppo Heikkilä 2
Parasar Mohanty 2
Cameron Grant 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Henstock-Kurzweil Fourier transforms 2002 Erik Talvila
 16
+ Introduction to the theory of distributions 1982 F. G. Friedlander
 15
+ PDF Chat The Distributional Denjoy Integral 2008 Erik Talvila
 14
+ PDF Chat The regulated primitive integral 2009 Erik Talvila
 14
+ The Theory of the Denjoy Integral and Some Applications 1989 V G Celidze
A G Dzvaršeišvili
P. S. Bullen
 13
+ Introduction to Gauge Integrals 2001 Charles Swartz
 12
+ A multidimensional analogue of the Denjoy-Perron-Henstock-Kurzweil integral 1997 D. D. Ang
Klaus Schmitt
L. K. Vy
 11
+ The Integrals of Lebesgue, Denjoy, Perron, and Henstock 1994 Russell A. Gordon
 11
+ PDF Chat Linear functionals on Denjoy-integrable functions 1948 A. Alexiewicz
 11
+ Harmonic Function Theory 1992 Sheldon Axler
Paul Bourdon
Wade Ramey
 10
+ PDF Chat Convolutions with the Continuous Primitive Integral 2009 Erik Talvila
 9
+ Lanzhou Lectures on Henstock Integration 1989 Peng Yee Lee
 8
+ Real and Complex Analysis. 1987 G. A. Garreau
Walter Rudin
 6
+ PDF Chat Estimates of the integral remainders in several numerical integral formulas using The Henstock-Kurzweil integral 2009 Xiaofeng Ding
Guoju Ye
Wei Chi Yang
 5
+ On Euler trapezoid formulae 2001 Lj. Dedić
M. Matić
‎Josip Pečarić
 5
+ Introduction to Banach Algebras, Operators, and Harmonic Analysis 2003 H. G. Dales
Pietro Aiena
Jörg Eschmeier
Kjeld Laursen
George A. Willis
 5
+ A representation of the Peano kernel for some quadrature rules and applications 2006 Josip ‎Pečarić
Nenad Ujević
 5
+ Weakly Differentiable Functions 1989 William P. Ziemer
 4
+ A Short Proof of a Classical Theorem in the Theory of Fourier Integrals 1955 Marcel Riesz
A. E. Livingston
 4
+ Table of Integrals, Series, and Products 1980 4
+ PDF Chat Tables of Integral Transforms 2005 Bateman Manuscript
H. Bateman
Arthur Erdélyi
 4
+ PDF Chat The Poisson integral: A study in the uniqueness of harmonic functions 1941 František Wolf
 4
+ PDF Chat Advanced analysis on the real line 1996 Rangachary Kannan
Carole King Krueger
 4
+ PDF Chat Tables of Fourier transforms and Fourier transforms of distributions 1990 Fritz Oberhettinger
 4
+ Classical Harmonic Analysis and Locally Compact Groups 2000 Hans Reiter
Jan D Stegeman
 4
+ Approximation of functions 2017 George G. Lorentz
 4
+ PDF Chat Integrals and Banach spaces for finite order distributions 2012 Erik Talvila
 4
+ PDF Chat Introduction to the Theory of Fourier Integrals 1938 A. C. Offord
 4
+ Handbook of Mathematical Functions 1966 Donald A. McQuarrie
 4
+ Derivation and Integration 2001 Washek F. Pfeffer
 4
+ A Course in Commutative Banach Algebras 2008 Eberhard Kaniuth
 4
+ PDF Chat The space of Henstock integrable functions of two variables 1987 Krzysztof Ostaszewski
 4
+ Error estimates for some composite corrected quadrature rules 2008 Liu Zheng
 4
+ Return to the Riemann Integral 1996 Robert G. Bartle
 4
+ Monic polynomials with minimal norm 1982 J. Glllis
George Lewis
 4
+ PDF Chat LIMITS AND HENSTOCK INTEGRALS OF PRODUCTS 1999 Talvila
 4
+ PDF Chat Integrals of distributions 1961 Roman Sikorski
 4
+ SHARP ERROR BOUNDS FOR THE TRAPEZOIDAL RULE AND SIMPSON'S RULE 2002 David Cruz-Uribe
C. J. Neugebauer
 4
+ Introduction to Approximation Theory 1969 T. J. Rivlin
E. W. Cheney
 4
+ PDF Chat Fourier Series with the Continuous Primitive Integral 2011 Erik Talvila
 4
+ On the solvability of distributional and impulsive systems of Cauchy problems 2012 Seppo Heikkilä
 3
+ Methods of the Theory of Generalized Functions 2002 V. S. Vladimirov
 3
+ A Constructive Minimal Integral which Includes Lebesgue Integrable Functions and Derivatives 2000 B. Bongiorno
Luisa Di Piazza
David Preiss
 3
+ SIMPLE DERIVATION OF BASIC QUADRATURE FORMULAS 2011 Erik Talvila
Matthew Wiersma
 3
+ Necessary and Sufficient Conditions for Differentiating Under the Integral Sign 2001 Erik Talvila
 3
+ The space of Henstock integrable functions II 1990 Piotr Mikusiński
Krzysztof Ostaszewski
 3
+ PDF Chat On singular nonlinear distributional and impulsive initial and boundary value problems 2011 Seppo Heikkilä
 3
+ PDF Chat On the best constant for the Besicovitch covering theorem 1994 Zoltán Füredi
Peter A. Loeb
 3
+ Some Divergent Trigonometric Integrals 2001 Erik Talvila
 3
+ Approximate Calculation of Integrals 1964 Seymour Haber
V. I. Krylov
 3