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This can be slightly simplified to

var('A, x, delta, k, dx, t, v, xi')
temp = 1/2*A*e^(1/2*(xi - 1)*dx*k^2*t*v - 1/4*delta^2*k^2 - I*k*t*v + I*k*x)/(sqrt(pi)*sqrt(delta^(-2)))
integral(temp,(k,0,oo))

with the same error. So the assumptions are not the cause.

In fact, it is a Maxima error. I've reported this upstream at Maxima ticket 2556.

This can be slightly simplified to

var('A, x, delta, k, dx, t, v, xi')
temp = 1/2*A*e^(1/2*(xi - 1)*dx*k^2*t*v - 1/4*delta^2*k^2 - I*k*t*v + I*k*x)/(sqrt(pi)*sqrt(delta^(-2)))
integral(temp,(k,0,oo))

with the same error. So the assumptions are not the cause.

In fact, it is a Maxima error. I've reported this upstream at Maxima ticket 2556.

This can be slightly simplified to

var('A, x, delta, k, dx, t, v, xi')
temp = 1/2*A*e^(1/2*(xi - 1)*dx*k^2*t*v - 1/4*delta^2*k^2 - I*k*t*v + I*k*x)/(sqrt(pi)*sqrt(delta^(-2)))
integral(temp,(k,0,oo))

with the same error. So the assumptions are not the cause.

In fact, it is a Maxima error. I've reported this upstream at Maxima ticket bug 2556.