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#	Item
121	Preprint May 27, [removed]To appear in Journal of Fourier Analysis and Applications. Fourier series with the continuous primitive integral Erik Talvila1 Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2011-06-05 18:57:17 Generalized functions Functional analysis Real analysis Joseph Fourier Fourier series Convolution Henstock–Kurzweil integral Distribution Vector space Mathematical analysis Mathematics Fourier analysis
122	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
123	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
124	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
125	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
126	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
127	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
128	[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
129	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
130	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