The existence of solutions of the inhomogeneous Cauchy-Riemann equations as a powerful tool in the study of analytic functions of several complex variables is well demonstrated in t h e monograph [22] of L. H6rmander. The main objective of this expository paper is to show how this technique can be used tO Unify and simplify the study of interpolation problems for entire functions of one complex...

Analogous to Ershov’s hierarchy for ∆2-subsets of natural numbers we discuss the similar hierarchy for recursively approximable real numbers. Namely, we define the k-computability for natural number k and f -computability for function f . We will show that these notions are not equivalent for different representations of real numbers based on Cauchy sequence, Dedekind cut and binary expansion.

‎let $x,y$ be normed spaces with $l(x,y)$ the space of continuous‎ ‎linear operators from $x$ into $y$‎. ‎if ${t_{j}}$ is a sequence in $l(x,y)$,‎ ‎the (bounded) multiplier space for the series $sum t_{j}$ is defined to be‎ [ ‎m^{infty}(sum t_{j})={{x_{j}}in l^{infty}(x):sum_{j=1}^{infty}%‎ ‎t_{j}x_{j}text{ }converges}‎ ‎]‎ ‎and the summing operator $s:m^{infty}(sum t_{j})rightarrow y$ associat...

Convergence of real sequences, as well complex sequences are studied by B. Liu and X. Chen respectively in uncertain environment. In this treatise, we extend the study almost convergence introducing double variable. Almost with respect to surely, mean, measure, distribution uniformly surely presented interrelationships among them depicted form a diagram. We also define Cauchy sequence same form...

and Applied Analysis 3 Definition 2.3. Let X, p be a partial metric space. Then, 1 a sequence {xn} in X, p is called a Cauchy sequence if limn,m→∞p xn, xm exists and is finite ; 2 the space X, p is said to be complete if every Cauchy sequence {xn} inX converges, with respect to τp, to a point x ∈ X such that p x, x limn,m→∞ p xn, xm . Lemma 2.4. Let X, p be a partial metric space. a {xn} is a C...

trichophyton rubrum is an anthropophilic fungus causing up to 90% of chronic cases of dermatophytosis. several properties of this fungus have been investigated so far. however, a few studies were carried out in the field of molecular biology of this fungus. in the present study, we tried to identify the subunit g of its vacuolar atpase (v-atpase). pairs of 21 nt primers were designed from highl...

We show the existence of global weak solutions to a general class of kinetic models of homogeneous incompressible dilute polymers. The main new feature of the model is the presence of a general implicit constitutive equation relating the viscous part Sv of the Cauchy stress and the symmetric part D of the velocity gradient. We consider implicit relations that generate maximal monotone (possibly...