Standard
Eigenfunctions of Laplacians on periodic metric graphs. / Korotyaev, E.; Saburova, N.
Proceedings of the International Conference Days on Diffraction, DD 2016. ed. / A.Ya. Kazakov; A.P. Kiselev; O.V. Motygin; A.S. Kirpichnikova; L.I. Goray; P.V. Kapitanova. Institute of Electrical and Electronics Engineers Inc., 2016. p. 223-228 7756846 (Proceedings of the International Conference Days on Diffraction, DD 2016).
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Harvard
Korotyaev, E & Saburova, N 2016,
Eigenfunctions of Laplacians on periodic metric graphs. in AY Kazakov, AP Kiselev, OV Motygin, AS Kirpichnikova, LI Goray & PV Kapitanova (eds),
Proceedings of the International Conference Days on Diffraction, DD 2016., 7756846, Proceedings of the International Conference Days on Diffraction, DD 2016, Institute of Electrical and Electronics Engineers Inc., pp. 223-228, 2016 International Conference Days on Diffraction, DD 2016, St. Petersburg, Russian Federation,
27/06/16.
https://doi.org/10.1109/DD.2016.7756846
APA
Korotyaev, E., & Saburova, N. (2016).
Eigenfunctions of Laplacians on periodic metric graphs. In A. Y. Kazakov, A. P. Kiselev, O. V. Motygin, A. S. Kirpichnikova, L. I. Goray, & P. V. Kapitanova (Eds.),
Proceedings of the International Conference Days on Diffraction, DD 2016 (pp. 223-228). [7756846] (Proceedings of the International Conference Days on Diffraction, DD 2016). Institute of Electrical and Electronics Engineers Inc..
https://doi.org/10.1109/DD.2016.7756846
Vancouver
Korotyaev E, Saburova N.
Eigenfunctions of Laplacians on periodic metric graphs. In Kazakov AY, Kiselev AP, Motygin OV, Kirpichnikova AS, Goray LI, Kapitanova PV, editors, Proceedings of the International Conference Days on Diffraction, DD 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 223-228. 7756846. (Proceedings of the International Conference Days on Diffraction, DD 2016).
https://doi.org/10.1109/DD.2016.7756846
Author
Korotyaev, E. ; Saburova, N. /
Eigenfunctions of Laplacians on periodic metric graphs. Proceedings of the International Conference Days on Diffraction, DD 2016. editor / A.Ya. Kazakov ; A.P. Kiselev ; O.V. Motygin ; A.S. Kirpichnikova ; L.I. Goray ; P.V. Kapitanova. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 223-228 (Proceedings of the International Conference Days on Diffraction, DD 2016).
BibTeX
@inproceedings{fd05a991d06b4e52af0742109d04e226,
title = "Eigenfunctions of Laplacians on periodic metric graphs",
abstract = "We consider the Kirchhoff Laplacians on equilateral periodic metric graphs. We present results about spectral properties of these operators: 1) the decomposition of the metric Laplacians into a constant fiber direct integral (with an exact form of fiber operators); 2) the relation between eigenfunctions of fiber operators for the metric and discrete Laplacians; 3) a uniform bound for the eigenfunctions of the fiber metric Laplacians.",
author = "E. Korotyaev and N. Saburova",
note = "Publisher Copyright: {\textcopyright} 2016 IEEE. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.; 2016 International Conference Days on Diffraction, DD 2016 ; Conference date: 27-06-2016 Through 01-07-2016",
year = "2016",
month = nov,
day = "28",
doi = "10.1109/DD.2016.7756846",
language = "English",
series = "Proceedings of the International Conference Days on Diffraction, DD 2016",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "223--228",
editor = "A.Ya. Kazakov and A.P. Kiselev and O.V. Motygin and A.S. Kirpichnikova and L.I. Goray and P.V. Kapitanova",
booktitle = "Proceedings of the International Conference Days on Diffraction, DD 2016",
address = "United States",
}
RIS
TY - GEN
T1 - Eigenfunctions of Laplacians on periodic metric graphs
AU - Korotyaev, E.
AU - Saburova, N.
N1 - Publisher Copyright:
© 2016 IEEE.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2016/11/28
Y1 - 2016/11/28
N2 - We consider the Kirchhoff Laplacians on equilateral periodic metric graphs. We present results about spectral properties of these operators: 1) the decomposition of the metric Laplacians into a constant fiber direct integral (with an exact form of fiber operators); 2) the relation between eigenfunctions of fiber operators for the metric and discrete Laplacians; 3) a uniform bound for the eigenfunctions of the fiber metric Laplacians.
AB - We consider the Kirchhoff Laplacians on equilateral periodic metric graphs. We present results about spectral properties of these operators: 1) the decomposition of the metric Laplacians into a constant fiber direct integral (with an exact form of fiber operators); 2) the relation between eigenfunctions of fiber operators for the metric and discrete Laplacians; 3) a uniform bound for the eigenfunctions of the fiber metric Laplacians.
UR - http://www.scopus.com/inward/record.url?scp=85007124184&partnerID=8YFLogxK
U2 - 10.1109/DD.2016.7756846
DO - 10.1109/DD.2016.7756846
M3 - Conference contribution
AN - SCOPUS:85007124184
T3 - Proceedings of the International Conference Days on Diffraction, DD 2016
SP - 223
EP - 228
BT - Proceedings of the International Conference Days on Diffraction, DD 2016
A2 - Kazakov, A.Ya.
A2 - Kiselev, A.P.
A2 - Motygin, O.V.
A2 - Kirpichnikova, A.S.
A2 - Goray, L.I.
A2 - Kapitanova, P.V.
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 International Conference Days on Diffraction, DD 2016
Y2 - 27 June 2016 through 1 July 2016
ER -