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Henstock–Kurzweil integral
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11	Henstock–Kurzweil Fourier transforms Erik Talvila University of Alberta www.math.ualberta.ca/˜etalvila/ Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2003-03-09 16:36:48 Joseph Fourier Measure theory Fundamental theorem of calculus Fourier transform Integral Riemann–Lebesgue lemma Improper integral Ralph Henstock Lebesgue integration Mathematical analysis Henstock–Kurzweil integral Fourier analysis
12	Necessary and Sufficient Conditions for Differentiating Under the Integral Sign Erik Talvila 1. INTRODUCTION. When we have an integral that depends on a parameter, say b Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2011-01-09 20:18:46 Henstock–Kurzweil integral Fundamental theorem of calculus Integral Riemann integral Multiple integral Antiderivative Improper integral Lebesgue integration Absolute convergence Mathematical analysis Calculus Integral calculus
13	Distributional solutions of the heat equation Erik Talvila [removed] University of the Fraser Valley Chilliwack, British Columbia, Canada Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2013-11-19 17:43:58 Measure theory Generalized functions Antiderivative Henstock–Kurzweil integral Fundamental theorem of calculus Continuous function Alexiewicz norm Integral Distribution Mathematical analysis Integral calculus Functions and mappings
14	The continuous primitive integral Erik Talvila University of the Fraser Valley Chilliwack, British Columbia E.T., The distributional Denjoy integral, Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2009-04-02 15:06:17 Functional analysis Integral calculus Operator theory Dirac delta function Henstock–Kurzweil integral Distribution Antiderivative Continuous function Integral Mathematical analysis Generalized functions Fourier analysis
15	Distributions, their primitives and integrals with applications to differential equations Seppo Heikkil¨a†∗ and Erik Talvila‡ † Department of Mathematical Sciences, University of Oulu, Box 3000, Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2012-12-18 20:30:22 Henstock–Kurzweil integral Integral calculus Functional analysis Real analysis Alexiewicz norm Fundamental theorem of calculus Riemann integral Integral Antiderivative Mathematical analysis Generalized functions Measure theory
16	Illinois Journal of Mathematics Volume 46, Number 4, Winter 2002, Pages 1207–1226 S[removed]HENSTOCK-KURZWEIL FOURIER TRANSFORMS ERIK TALVILA Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2011-01-09 18:49:47 Functions and mappings Joseph Fourier Harmonic analysis Henstock–Kurzweil integral Fourier transform Riemann–Lebesgue lemma Integral Integration by parts Multiple integral Mathematical analysis Integral calculus Fourier analysis
17	[removed]MATHEMATICA BOHEMICA No. 2, 189–196 Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2011-01-09 18:35:07 Integral calculus Functions and mappings Henstock–Kurzweil integral Alexiewicz norm Continuous function Multiple integral Derivative Order of integration Integral Mathematical analysis Mathematics Calculus
18	The Regulated Integral on the real line Erik Talvila University College of the Fraser Valley Chilliwack, British Columbia Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2011-01-16 19:17:07 Fourier analysis Functions and mappings Integral calculus Dirac delta function Integral Henstock–Kurzweil integral Continuous function Distribution Antiderivative Mathematical analysis Measure theory Generalized functions
19	Scientiae Mathematicae Japonicae Online, Vol. 10, (2004), 55–[removed]LUSIN’S THEOREM AND BOCHNER INTEGRATION Peter A. Loeb and Erik Talvila Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2011-01-09 18:47:55 Continuous function Henstock–Kurzweil integral Integral Null set Bochner integral Lp space Absolute continuity Mathematical analysis Measure theory Support
20	Distributional integrals Erik Talvila University College of the Fraser Valley Chilliwack, British Columbia Abstract: One way of defining the integral is Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2008-01-05 00:49:04 Fourier analysis Integral calculus Real analysis Henstock–Kurzweil integral Dirac delta function Integral Absolute continuity Lebesgue integration Alexiewicz norm Mathematical analysis Measure theory Generalized functions