We introduce a generalization of the Fourier transform, denoted by FC , on the isotropic cone C associated to an indefinite quadratic form of signature (n1, n2) on R (n = n1 + n2: even). This transform is in some sense the unique and natural unitary operator on L2(C), as is the case with the Euclidean Fourier transform FRn on L 2(Rn). Inspired by recent developments of algebraic representation ...

1alpha,25-Dihydroxyvitamin D(3) (1alpha,25-D(3)) has potent antiproliferative and anti-invasive properties in vitro in cancer cells. However, its calcemic effect in vivo limits its therapeutic applications. Here, we report the efficacy of 22-oxa-1alpha,25-dihydroxyvitamin D(3) (22-oxa-1alpha,25-D(3)), a low calcemic analog of vitamin D, against the development of metastatic lung carcinoma after...

The problem of estimating closeness between the distributions of S/B and Z was studied by many authors in various directions (see, for instance, [1, 2]). In the present article we obtain estimates for the difference ∆ = |S/B − Z| (1.4) under the assumption that the random variables S and Z are realized in a special way on a common probability space. We prove among other results that, with S and...