Open AccessFourier series of functions with infinite discontinuities
Author(s) -
Branko Sarić
Publication year - 2014
Publication title -
sarajevo journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 2233-1964
pISSN - 1840-0655
DOI - 10.5644/sjm.10.1.13
Subject(s) - classification of discontinuities , mathematics , series (stratigraphy) , fourier series , conjugate fourier series , fourier transform , calculus (dental) , mathematical analysis , fourier analysis , geology , paleontology , orthodontics , medicine , short time fourier transform
Using the total H1-integrability concept we shall show that functions, which take on infinite values in the interval (−π, π) at only finitely many places, can be expanded into a Fourier series over this interval.
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