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Sibirsk. Mat. Zh., 2018 Volume 59, Number 4, Pages 858–862 (Mi smj3014)

Convolution integral operators

V. B. Korotkov

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: We establish some algebraic, metric, and spectral properties of convolution integral operators in $L_2(\mathbb R^N)$.

Keywords: operator commuting with shifts, convolution integral operator, Carleman convolution integral operator, Akhiezer convolution integral operator, Fourier transform.

UDC: 519.49

Received: 24.10.2017

DOI: 10.17377/smzh.2018.59.409


 English version:
Siberian Mathematical Journal, 2018, 59:4, 677–680

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© Steklov Math. Inst. of RAS, 2025