TY - JOUR
T1 - Necessary conditions for integrability of the fourier transform
AU - Liflyand, Elijah
PY - 2009
Y1 - 2009
N2 - We prove the necessary conditions for the integrability of the Fourier transform. The result is a generalization, on one hand, of the well known necessary condition for absolutely convergent Fourier series and, on the other hand, of an earlier multidimensional result of Trigub.
AB - We prove the necessary conditions for the integrability of the Fourier transform. The result is a generalization, on one hand, of the well known necessary condition for absolutely convergent Fourier series and, on the other hand, of an earlier multidimensional result of Trigub.
KW - Bessel function
KW - Fractional integral/derivative
KW - Integrable fourier transform
KW - Radial part
UR - http://www.scopus.com/inward/record.url?scp=71449086136&partnerID=8YFLogxK
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:71449086136
SN - 1072-947X
VL - 16
SP - 553
EP - 559
JO - Georgian Mathematical Journal
JF - Georgian Mathematical Journal
IS - 3
ER -