ASYMPTOTIC-BEHAVIOR OF THE FUNDAMENTAL SOLUTION TO DELTA-U DELTA-T=-(-DELTA)(M)U/

An asymptotic expansion is derived for the Fourier integral f(x) = 1/( 2pi)n/2 integral-R(n) exp(- absolute value of q2m + ix.q)dq, x is-an-e lement-of R(n), as absolute value of x --> infinity, where m is a posi tive integer. From this. it is deduced that the fundamental solution t o the 'heat' equation partial derivative u/partial derivative t = -(-D ELTA)(m)u has an infinite number of zeros tending to infinity.