## An Integral Equation with an Associated Integral Condition |

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adjoint respectively ai pi xj Application to Integral ASSOCIATED INTEGRAL CONDITION auxiliary condition Bryn Mawr College charac cºi complete normed orthogonal continuous function continuous kernel converges absolutely converges uniformly discussion dt day eacists equations 17 exists a symmetric finite norm follows Fredholm Determinant Guggenbühl Hunter College infinite number infinite series JA(t JJAKp K(sa K(ta L(sa lemma lºg matrix lag matrix tas matrix tea matrix tº matrix top normed orthogonal system º º Pell Pell-Wheeler pi xi pi xj pi(s point spectrum poles positive definite properties real characteristic numbers respect to pi ſAp ſay Section series converge uniformly series in 24 ſfu single integral equation ſº solutions of 21 ſor ſſ ſſa ſſful sufficient condition symmetric matrix symmetrizable symmetrizing kernel system of equations teristic numbers tij g tºº Ty exists va(s