DUCHON [S]has investigated the structure theory for convolution algebras of vector-valued meaaures on a compact totally ordered semigroup. The algebra studied in this paper is the algebra of regular BOREL vector-valued measures (with values in a BANACH algebra) on a certain compact partially ordered semigroup considered in [2], and we describe the structure of the algebra. The semigroup under consideration has the simple algebraic structure and this makes it possible to obtain a satisfact.ory solution.Na~hr. 60,97 -108 (1974).Math. 7, 913-941 (1957).
We investigate the value distribution of dierence polynomials of entire and meromorphic functions, which can be viewed as the Hayman's conjecture. And we also study the uniqueness of dierence polynomials sharing a common value.
In this paper, we consider the zero distributions of q-shift monomi-als and difference polynomials of meromorphic functions with zero order, that extends the classical Hayman results on the zeros of differential poly-nomials to q-shift difference polynomials. We also investigate problem of q-shift difference polynomials that share a common value.
In this paper, we study the entire or meromorphic solutions for differential-difference equations in f(z) , its shifts, its derivatives and derivatives of its shifts. and study some Hayman's results for differential-difference polynomials.
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