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Riemann integral
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31	ICE-EM Access Grid Room Project Subject Information Form Administration 1. Department and institution School of Mathematics and Applied Statistics Add to Reading List Source URL: research.amsi.org.au Language: English - Date: 2014-08-18 08:45:41 Lebesgue integration Integral Riemann integral Measurable function Measure Edward Blyth Mathematical analysis Measure theory Henri Lebesgue
32	Rapidly Growing Fourier Integrals Erik Talvila 1. THE RIEMANN–LEBESGUE LEMMA. In its usual form, the Riemann– ∞ Lebesgue Lemma reads as follows: If f ∈ L 1 and fˆ(s) = −∞ eisx f (x) d x is its Fourier trans Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2011-01-09 20:10:19 Integral calculus Integral transforms Fourier transform Fourier series Improper integral Integration by parts Bessel function Integral Riemann–Lebesgue lemma Mathematical analysis Fourier analysis Joseph Fourier
33	HERMITE-HADAMARD TYPE INEQUALITIES OBTAINED VIA RIEMANN-LIOUVILLE FRACTIONAL CALCULUS M. V. MIHAI and F-C. MITROI Abstract. We extend some inequalities obtained by M. A. Latif to the framework of Riemann-Liouville fracti Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2014-03-17 09:25:32 Integral transforms Riemann–Liouville integral Diophantine approximation Transcendental numbers Operator theory Liouville number Spectral theory of ordinary differential equations Mathematical analysis Mathematics Fractional calculus
34	Real Analysis Exchange Vol. (), , pp. 907–918 Erik Talvila∗, Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL[removed]e-mail: [removed] Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2011-01-09 19:07:17 Calculus Functional analysis Measure theory Henstock–Kurzweil integral Riemann–Stieltjes integral Integral Dirac delta function Continuous function Distribution Mathematical analysis Fourier analysis Generalized functions
35	RESEARCH Real Analysis Exchange Vol. 33(1), [removed], pp. 51–82 Erik Talvila∗, Department of Mathematics and Statistics, University College Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2011-01-09 18:33:31 Mathematical series Generalized functions Fourier analysis Henstock–Kurzweil integral Riemann–Stieltjes integral Dirac delta function Integral Fundamental theorem of calculus Absolute continuity Mathematical analysis Measure theory Integral calculus
36	Fourier series with the continuous primitive integral Add to Reading List Source URL: www.math.ualberta.ca Language: English - Date: 2010-11-17 22:48:07 Generalized functions Joseph Fourier Fourier series Integral transforms Convolution Distribution Riemann–Lebesgue lemma Henstock–Kurzweil integral Fourier transform Mathematical analysis Fourier analysis Functional analysis
37	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
38	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
39	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
40	Measure and integral E. Kowalski ¨ rich ETH Zu Add to Reading List Source URL: www.math.ethz.ch Language: English - Date: 2010-08-26 01:48:41 Integral calculus Measure theory Integral Riemann integral Multiple integral Antiderivative Lebesgue integration Continuous function Convolution Mathematical analysis Mathematics Fourier analysis

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