We discuss the question whether the limit form of a sequence of closed, sectorial forms is closed itself. In particular, we prove a convergence theorem from below which assures the limiting form to be closed. As an application of this theorem, we show a different approach to show the closedness of elliptic forms with measurable coefficients. We also give an example of a densely defined, closed,...

We prove sectorial extension theorems for ultraholomorphic function classes of Beurling type defined by weight functions with a controlled loss regularity. The proofs are based on reduction lemma, due to the second author, which allows extract from Roumieu case, was treated recently Jiménez-Garrido, Sanz, and third author. To have control opening sectors, where extensions exist, we use (mixed) ...

— In this survey, we first review various forms of local nondeterminism and sectorial local nondeterminism of Gaussian and stable random fields. Then we give sufficient conditions for Gaussian random fields with stationary increments to be strongly locally nondeterministic (SLND). Finally, we show some applications of SLND in studying sample path properties of (N, d)-Gaussian random fields. The...

PURPOSE To examine rhodopsin gene mutations in Japanese patients with retinitis pigmentosa. METHODS We performed a mutational analysis of the rhodopsin gene in 42 patients from 40 families with retinitis pigmentosa. Genomic DNA was amplified by polymerase chain reaction (PCR) and the PCR products were sequenced. Restriction enzyme analysis was performed in family members of 1 patient with a r...

In a majority of the recent writings on economic growth, the term 'growth' without further qualifiers is used to mean growth of per capita output, with a striking linguistic change relative to a couple of decades ago. This linguistic change reflects the exclusive concentration on the determinants of the growth of per capita output, which characterises modern Endogenous Growth Theory. The implic...