Spectral Analysis of the Truncated Hilbert Transform with Overlap
نویسندگان
چکیده
منابع مشابه
Spectral Analysis of the Truncated Hilbert Transform with Overlap
We study a restriction of the Hilbert transform as an operator HT from L (a2, a4) to L(a1, a3) for real numbers a1 < a2 < a3 < a4. The operator HT arises in tomographic reconstruction from limited data, more precisely in the method of differentiated back-projection (DBP). There, the reconstruction requires recovering a family of one-dimensional functions f supported on compact intervals [a2, a4...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2014
ISSN: 0036-1410,1095-7154
DOI: 10.1137/130910798