TY - JOUR
T1 - Transversally elliptic operators
AU - Beals, Richard
AU - Gaveau, Bernard
AU - Greiner, Peter
AU - Kannai, Yakar
PY - 2004/8
Y1 - 2004/8
N2 - We define a class of degenerate elliptic operators of second order, for which it is possible to calculate the Green kernel and the heat kernel. The exact formula for the Green kernel can be used to study the points where the operator is analytic hypoelliptic or to study the Gevrey regularity. The heat kernel is always analytic for positive time.
AB - We define a class of degenerate elliptic operators of second order, for which it is possible to calculate the Green kernel and the heat kernel. The exact formula for the Green kernel can be used to study the points where the operator is analytic hypoelliptic or to study the Gevrey regularity. The heat kernel is always analytic for positive time.
KW - Degenerate elliptic operators
KW - Gevrey class
KW - Subelliptic operators
UR - http://www.scopus.com/inward/record.url?scp=3242876329&partnerID=8YFLogxK
U2 - 10.1016/j.bulsci.2004.03.008
DO - 10.1016/j.bulsci.2004.03.008
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AN - SCOPUS:3242876329
SN - 0007-4497
VL - 128
SP - 531
EP - 576
JO - Bulletin des Sciences Mathematiques
JF - Bulletin des Sciences Mathematiques
IS - 7
ER -