TY - JOUR
T1 - Superoscillating Sequences in Several Variables
AU - Aharonov, Y.
AU - Colombo, F.
AU - Sabadini, I.
AU - Struppa, D. C.
AU - Tollaksen, J.
N1 - Publisher Copyright:
© 2015, Springer Science+Business Media New York.
PY - 2016/8/1
Y1 - 2016/8/1
N2 - In a series of papers (J Phys A 44:365304, 2011; Complex Anal Oper Theory 7:1299–1310, 2013; J Math Pures Appl 99:165–173, 2013; J Math Pures Appl 103:522–534, 2015), we have investigated some mathematical properties of superoscillating sequences in one variable, and their persistence in time. In this paper we study the notion of superoscillation in several variables and we show how to construct examples of sequences that exhibit this property.
AB - In a series of papers (J Phys A 44:365304, 2011; Complex Anal Oper Theory 7:1299–1310, 2013; J Math Pures Appl 99:165–173, 2013; J Math Pures Appl 103:522–534, 2015), we have investigated some mathematical properties of superoscillating sequences in one variable, and their persistence in time. In this paper we study the notion of superoscillation in several variables and we show how to construct examples of sequences that exhibit this property.
KW - Generalized Fourier sequences in several variables
KW - Series of differential operators
KW - Spaces of holomorphic functions
UR - http://www.scopus.com/inward/record.url?scp=84945260971&partnerID=8YFLogxK
U2 - 10.1007/s00041-015-9436-8
DO - 10.1007/s00041-015-9436-8
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AN - SCOPUS:84945260971
SN - 1069-5869
VL - 22
SP - 751
EP - 767
JO - Journal of Fourier Analysis and Applications
JF - Journal of Fourier Analysis and Applications
IS - 4
ER -