Monogenic functions and basic elliptic equations of mathematical physics
Topic outline


Hypercomplex algebras associated with the threedimensional Laplace equation and the biharmonic equation

Monogenic functions and principal extensions of analytic functions of a complex variable into a commutative Banach algebra

Elementary monogenic functions in a threedimensional harmonic algebra with a twodimensional radical


Integral theorems in a threedimensional commutative algebra: Stokes formula and Cauchy theorem for a curvilinear integral. Morera theorem

Analogues of Cauchy's integral formula, Taylor's theorem and uniqueness theorem for monogenic functions
