The paper outlines a covariant theory of operators related to groups and homogeneous spaces. A methodical use of groups and their representations allows to obtain results of algebraic and analytical nature. The consideration is systematically illustrated by a representative collection of examples.
"Calculus of Operators: Covariant Transform and Relative Convolutions." Banach J. Math. Anal. 8 (2) 156 - 184, 2014. https://doi.org/10.15352/bjma/1396640061