( 736 ) 
K (wy) purge EE) 
K (er, 4) Kw, vy a (v1 &p) = ie pre 4 
v, » Wy 
K (a) Aln dede Mete) 
according to the elements of the first row, and integrate over the 
variables x, #,..&, between the limits a and hb. This gives, as has 
been remarked already by FREDHOLM 
iN =f fee ae oe, Oey == EC (wy) ff i. eS die ey, 
Ue Un 
—f K (wr, )dt J J B KD oe iaer: 
YU je Ul 
4 ee this process we obtain 
b b 
uv «Un—] bs ; ahs v een —] 
ff» sn Ed eden == Keen ffe 2 Jente, | 
v e e Ve Un—l 
a a 
b beb 
; = ú 2 = Ty vy +.Un—9 
—(n—1) | A(t,t,)dr,].. | A deden. 
e e e y U Un? 
a a a 
Pinas Wah ead ae 
ursuing in this way, and putting 
bard 
; ri i (yk 
omme (OG) it 4 dx, ..dx}, 
Ue Ue Uk 
a a 
we get, after p operations 
In =n! Gn K (ay) — n! an K, (vy) +n! tr K,(vy)—..+(—1)pP In! K, (ry) + 
b b 
+ (-1)en(n-1)..(n—p + ff Ren Rien) Keynes De 
Un — 
x i je te 3 "as nd 
Y Ljeeln—p 
and, if p=n--1 
1,==n![a,K(cy) —a@n_1K,(ay)+...+(—1)"“!@, Kley) +(— 1)" Kr («4)] (7) 
from which at once the values Ee de be determined, for 
GEN ed. (8) 
Ep 
el an YU Up : 
