More As To The Poisson Integral

Let us consider the Laplacian-based condition of two different adjacent waves, that bear a common holomorphicity, that work to bear an integration of their phase exchange -- in so as to make a mappable tracing of their resultant cohomology to be of an equivalent nature.  This form of integration is known of, in general, as the Poisson Integral.  This is in so as to be able to make an extrapolation of as to how two of such given arbitrary adjacent waves may be made equivalent to one another, in a Laplacian-based manner.  Next, let us now consider two different Njenhuis adjacent waves, that bear a common holomorphicity -- in so as to make the resultant cohomological-based mappable tracing, that would here be subtended between the two said waves of an equal manner -- by making an Imaginary-based numerical integration of their phase exchanges, in a respective given arbitrary manner, that would work here in so as to make the two wave-based spaces that are initially Njenhuis to one another, to be made into a Gaussian-based nature to one another -- by using a method  of undetermined complex roots, in the process of applying the appropriate Li-based integrand, that would then here relate two spaces that are initially not of a Real Reimmanian-based nature to one another, to made of a viable nature to one another, by then applying the so-eluded-to Li-based codifferentiable indices.  If the two so-eluded-to waves are of the same orbifold eigenset, in the process of the Fourier-based translation of the two so-eluded-to spaces, being transformed through the respective Lagrangian-based path -- by which the two metrical-gauge-based Hamiltonian-based operators are moving along, via their correlative Hamiltonian operands, then, the result will be that the two said waves will here tend to be of a Yukawa-based Ward-Caucy-based nature -- when one is to here compare the one Hamiltonian-based operator to the other.  Yet, if the two said waves of such a case are, instead, of two different orbifold eigensets -- then, in the process of the Fourier-based translation of the two so-eluded-to spaces being transformed through the Lagrangian-based path, by which the two metrical-gauge-based Hamiltonian-based operators are to then be moving along, via their correlative Hamiltonian operands, then, the result will be that the two said waves will here tend to not be of a Yukawa-based Ward-Caucy-based nature -- when one is to here compare the one Hamiltonian-based operator to the other.  I will continue with the suspense later!
To Be Continued!  Sincerely, Samuel David Roach.