in this paper. (1) we determine the complex-valued solutions of the following variant of van vleck's functional equation $$int_{s}f(sigma(y)xt)dmu(t)-int_{s}f(xyt)dmu(t) = 2f(x)f(y), ;x,yin s,$$ where $s$ is a semigroup, $sigma$ is an involutive morphism of $s$, and $mu$ is a complex measure that is linear combinations of dirac measures $(delta_{z_{i}})_{iin i}$, such that for all $iin i$,...

In this paper, we show that the twistor space J (R2n+2) on Euclidean space R2n+2 is a Kaehler manifold and the twistor space J (S2n) of the sphere S2n can be realized as a Kaehler submanifold in J (R2n+2). Then we show that an orthogonal almost complex structure Jf on S 2n is integrable if and only if the corresponding section f : S2n → J (S2n) is holomorphic. Hence there is no orthogonal integ...

carney’s complex is a rare autosomal dominantly inherited multiple endocrine neoplasia syndrome that involves spotty skin pigmentations, recurrent cardiac myxomas, endocrine hyperactivity, pituitary adenomas, peripheral nerve tumors, testicular tumors, and ovarian lesions. we present a case of sudden cardiac death in a 40 year old female with a history of carney’s complex with recurrent cardiac...