Hyperfunction
GENERALIZATION OF CONTINUOUS FUNCTIONS AND DISTRIBUTIONS, REPRESENTED BY AS A ‘JUMP’ FROM ONE HOLOMORPHIC FUNCTION TO ANOTHER AT A BOUNDARY
Sato's hyperfunction; Operations on hyperfunctions
In mathematics, hyperfunctions are generalizations of functions, as a 'jump' from one holomorphic function to another at a boundary, and can be thought of informally as distributions of infinite order. Hyperfunctions were introduced by Mikio Sato in 1958 in Japanese, (1959, 1960 in English), building upon earlier work by Laurent Schwartz, Grothendieck and others.