Functional equations and tempered ultradistributions.
Further extending results of some classes of complex difference and functional equations.
Gauss-Manin connections of Schläfli type for hypersphere arrangements
The cohomological structure of hypersphere arragnements is given. The Gauss-Manin connections for related hypergeometrtic integrals are given in terms of invariant forms. They are used to get the explicit differential formula for the volume of a simplex whose faces are hyperspheres.
Generalized sine equations, I.
Generalized sine equations, I. (Summary).
Generalized sine equations, II. (Summary).
Generalized sine equations, III.
Graphs and functional equations.
Hyers-Ulam stability of functional equations in several variables.
Hyers-Ulam-Rassias stability of the -quadratic functional equation.
Lower-dimensional decompositions using complex variables
The purpose of the present paper is to represent non-holomorphic functions depending on one or several complex variables by holomorphic and anti-holomorphic functions depending on only one complex variable. Similarly as in the case of functions of real variables, the obtained criteria can also be interpreted as conditions for the solvability of functional equations.
Matrix method for solving linear complex vector functional equations.
Mean-value type functional equations.
Measurable solutions of a (2, 2)-type sum form functional equation.
On a class of complex functional equations.
On a functional equation occurring in astrophysics.
On a functional equation of Aczél and Chung.
On a generalization of the Cauchy functional equation.
On a signed cosine equation of N summands.
On an Algebra Endomorphism Induced by a Space Map