Uniform convergence and integrability of Fourier integrals
نویسندگان
چکیده
منابع مشابه
Known and New Results on Absolute Convergence of Fourier Integrals
New sufficient conditions for representation of a function via the absolutely convergent Fourier integral are obtained in the paper. In the main result, Theorem 1.1, this is controlled by the behavior near infinity of both the function and its derivative. This result is extended to any dimension d ≥ 2.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2010
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.06.023