Add to ORKGABSTRACT. We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so that H is an entire harmonic (that is, has no finite singularities) function; the radius of har-monicity in terms of its Fourier coefficients in case H is not entire. Further, we obtain, in terms of its Fourier coefficients, the Order and Type growth measures, both in case H is entire or non-entire
The classical theorem of growth regularity in the class S of analytic and univalent in the unit disc...
[[abstract]]Let H-l(p)(M) be the space of polynomial growth harmonic forms. We proved that the dimen...
In this paper, we essay a generalization of the classical concept of growth order of an entire funct...
ABSTRACT. We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient...
We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient condition...
Abstract. We study the growth of functions which are harmonic in any number of variables. The result...
[[abstract]]Let h be a harmonic function on R(superscript n), n≥2. Then there exists on entire funct...
AbstractLet h be a harmonic function on RN. Then there exists a holomorphic function f on C such tha...
The relationship between the classical order and type of an entire harmonic function in space $\math...
AbstractUsing the Bergman B3 integral operator, the growth of harmonic functions of three variables ...
AbstractClassical methods are used to obtain expressions for the order and type of an entire harmoni...
In the present lecture notes, we shall discuss the relation between the growth of har-monic function...
In this paper, we give a sharp estimate on the dimension of the space of polynomial growth harmonic ...
Let $\Psi_v$ be the class of harmonic functions in the unit disk or unit ball in ${\mathsf R}^m$ whi...
In the paper we study the growth properties of entire functions on the basis of relative L-order whe...
The classical theorem of growth regularity in the class S of analytic and univalent in the unit disc...
[[abstract]]Let H-l(p)(M) be the space of polynomial growth harmonic forms. We proved that the dimen...
In this paper, we essay a generalization of the classical concept of growth order of an entire funct...
ABSTRACT. We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient...
We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient condition...
Abstract. We study the growth of functions which are harmonic in any number of variables. The result...
[[abstract]]Let h be a harmonic function on R(superscript n), n≥2. Then there exists on entire funct...
AbstractLet h be a harmonic function on RN. Then there exists a holomorphic function f on C such tha...
The relationship between the classical order and type of an entire harmonic function in space $\math...
AbstractUsing the Bergman B3 integral operator, the growth of harmonic functions of three variables ...
AbstractClassical methods are used to obtain expressions for the order and type of an entire harmoni...
In the present lecture notes, we shall discuss the relation between the growth of har-monic function...
In this paper, we give a sharp estimate on the dimension of the space of polynomial growth harmonic ...
Let $\Psi_v$ be the class of harmonic functions in the unit disk or unit ball in ${\mathsf R}^m$ whi...
In the paper we study the growth properties of entire functions on the basis of relative L-order whe...
The classical theorem of growth regularity in the class S of analytic and univalent in the unit disc...
[[abstract]]Let H-l(p)(M) be the space of polynomial growth harmonic forms. We proved that the dimen...
In this paper, we essay a generalization of the classical concept of growth order of an entire funct...