Contents |
The Jacobian elliptic functions are generalized
to functions including the generalized trigonometric functions.
This talk deals with the basis property of the sequence of
generalized Jacobian elliptic functions in any Lebesgue space.
In particular, it is shown that the sequence of the classical
Jacobian elliptic functions is a basis in any Lebesgue space
if the modulus $k$ satisfies $0 \le k \le 0.99$. |
|