Geodesic
Function Theoretic Integral Operator Methods for Partial Differential Equations(1)
Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 127-135

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It is well known that complex analytic functions and harmonic functions of two real variables are closely related, so that from methods and results in complex function theory one can easily obtain theorems on those harmonic functions. This is the prototype of a relation between complex analysis and a partial differential equation (Laplace's equation in two variables). In the case of more general linear partial differential equations, one can establish similar relations. 
Kreyszig, Erwin. Function Theoretic Integral Operator Methods for Partial Differential Equations(1). Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 127-135. doi: 10.4153/CMB-1980-018-0
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     title = {Function {Theoretic} {Integral} {Operator} {Methods} for {Partial} {Differential} {Equations(1)}},
     journal = {Canadian mathematical bulletin},
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     year = {1980},
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     doi = {10.4153/CMB-1980-018-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-018-0/}
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