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Fourier Analysis: An Introduction
Elias M. Stein,Rami Shakarchi +1 more
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This book discusses Fourier Analysis, Dirichlet's Theorem, and some Applications of Fourier Series 100 with a focus on the Fourier Transform.Abstract:
Foreword vii Preface xi Chapter 1. The Genesis of Fourier Analysis 1 Chapter 2. Basic Properties of Fourier Series 29 Chapter 3. Convergence of Fourier Series 69 Chapter 4. Some Applications of Fourier Series 100 Chapter 5. The Fourier Transform on R 129 Chapter 6. The Fourier Transform on R d 175 Chapter 7. Finite Fourier Analysis 218 Chapter 8. Dirichlet's Theorem 241 Appendix: Integration 281 Notes and References 299 Bibliography 301 Symbol Glossary 305read more
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EMG activity during whole body vibration: motion artifacts or stretch reflexes?
TL;DR: The hypothesis of WBV-induced stretch reflexes is supported: the latencies and spectrograms of stretch reflex responses evoked by passive dorsiflexions in an ankle ergometer were almost identical to the supposed stretch Reflex responses during vibration.
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An Invitation to Modern Number Theory
TL;DR: This website is an invitation to modern number theory that will be your best choice for better reading book and you can take the book as a source to make better concept.
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Martingales in Banach Spaces
TL;DR: In this article, the authors consider the strong p-variation of martingales in non-commutative LP * and show that it is uniformly convex and super-reflexive.
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Recent advances in the use of computer vision technology in the quality assessment of fresh meats
TL;DR: This work states that fully automatic image segmentation still remains a difficult problem in many instances, although image processing is becoming more powerful particularly as computationally demanding texture characterisation algorithms become more viable as computation speeds increase.
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On the Fourier Extension of Nonperiodic Functions
TL;DR: It is obtained exponentially accurate Fourier series for nonperiodic functions on the interval $[-1,1]$ by extending these functions to periodic functions on a larger domain by means of the FFT.