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In functional analysis functions ##f## and ##g## are orthogonal on the interval ##[a,b]## if
[tex]\int^b_a f(x)g(x)dx=0[/tex]
But what if we have functions of two variables ##f(x,y)## and ##g(x,y)## that are orthogonal on the interval ##[a,b]##. Is there some definitions
[tex]\int^b_a f(x,z)g(z,y)dz=0[/tex]?
[tex]\int^b_a f(x)g(x)dx=0[/tex]
But what if we have functions of two variables ##f(x,y)## and ##g(x,y)## that are orthogonal on the interval ##[a,b]##. Is there some definitions
[tex]\int^b_a f(x,z)g(z,y)dz=0[/tex]?