TY - GEN

T1 - Integral operators of the L-convolution type in the case of a reflectionless potential

AU - Hasanyan, Davresh

AU - Kamalyan, Armen

AU - Karakhanyan, Martin

AU - Spitkovsky, Ilya M.

N1 - Funding Information:
This work was supported by the Science Committee, Ministry of Education and Science of Armenia within the framework of the joint research given to YSU-SFU-16/1, and by the Faculty Research funding from Division of Science and Mathematics, New York University Abu Dhabi.
Publisher Copyright:
© Springer Nature Switzerland AG 2019.

PY - 2019

Y1 - 2019

N2 - The notion of the L-convolution operator is introduced by changing the Fourier operator in the definition of the (regular) convolution operator to the operator intertwining the Sturm-Liouville operator L with the multiplication operator. Along the same lines, the L-Wiener-Hopf operator is introduced. For the latter, the invertibility is studied in the case of a reflectionless potential and piecewise continuous symbols.

AB - The notion of the L-convolution operator is introduced by changing the Fourier operator in the definition of the (regular) convolution operator to the operator intertwining the Sturm-Liouville operator L with the multiplication operator. Along the same lines, the L-Wiener-Hopf operator is introduced. For the latter, the invertibility is studied in the case of a reflectionless potential and piecewise continuous symbols.

KW - L-Symbol

KW - L-Wiener-Hopf operator

KW - Reflectionless potential

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U2 - 10.1007/978-3-030-26748-3_11

DO - 10.1007/978-3-030-26748-3_11

M3 - Conference contribution

AN - SCOPUS:85072838102

SN - 9783030267476

T3 - Springer Proceedings in Mathematics and Statistics

SP - 175

EP - 197

BT - Modern Methods in Operator Theory and Harmonic Analysis - OTHA 2018, Revised and Extended Contributions

A2 - Karapetyants, Alexey

A2 - Kravchenko, Vladislav

A2 - Liflyand, Elijah

PB - Springer New York LLC

T2 - International Scientific Conference of Modern Methods and Problems of Operator Theory and Harmonic Analysis and Their Applications, OTHA 2018

Y2 - 22 April 2018 through 27 April 2018

ER -