Data from experimental observations of certain brain functions, such as impulse responses of cortex to electric shocks (average evoked potentials), related with the coexistence of pulses and wave modes in the dynamics of a class of neurological processes (Freeman K-sets), present functional distribution reproducing the Bessel function behavior. This suggests the possibility to replace ordinary ...

Fusion frames are a generalized form of frames in Hilbert spaces. In the present paper we introduce Bessel subfusion sequences and subfusion frames and we investigate the relationship between their operation. Also, the definition of the orthogonal complement of subfusion frames and the definition of the completion of Bessel fusion sequences are provided and several results related with these no...

A number of new definite integrals involving Bessel functions are presented. These have been derived by finding new integral representations for the product of two Bessel functions of different order and argument in terms of the generalized hypergeometric function with subsequent reduction to special cases. Connection is made with Weber's second exponential integral and Laplace transforms of pr...

An overview of two types of beam solutions is presented, Gaussian beams and Bessel beams. Gaussian beams are examples of non-localized or diffracting beam solutions, and Bessel beams are example of localized, non-diffracting beam solutions. Gaussian beams stay bounded over a certain propagation range after which they diverge. Bessel beams are among a class of solutions to the wave equation that...

Metal tellurides attract recent attention because of their promising applications as effective catalysts for the oxygen evolution reaction (OER). However, inappropriate adsorption energy between OER intermediates and telluride leads to an unsatisfactory electrocatalytic intrinsic activity. Herein, we adopt a unique in-situ cathodic electrochemical activation process facilitate surface self-reco...

‎In this paper‎, ‎first we develop the duality concept for $g$-Bessel sequences‎ ‎and Bessel fusion sequences in Hilbert spaces‎. ‎We obtain some results about dual‎, ‎pseudo-dual ‎and approximate dual of frames and fusion frames‎. ‎We also expand every $g$-Bessel ‎sequence to a frame by summing some elements‎. ‎We define the restricted isometry property for ‎$g$-frames and generalize some resu...

Through a two-step solvothermal method, different molar ratios of BiPO4 were grown in situ on the surface oxygen-vacancy-rich BiOBr (Ov-BiOBr), successfully constructing BiPO4/Ov-BiOBr heterojunction composite material. By novel type I high-low junction between semiconductor and Ov-BiOBr, stronger oxidative holes or reductive electrons retained, thereby improving redox performance photocatalyst...

OBJECTIVE To demonstrate whether leptin modulates reproduction by a direct effect within the ovary. DESIGN Animal model. SETTING National Key Laboratory of Infertility. ANIMAL(S) Adult female db/db mice. INTERVENTION(S) Adult littermate wild-type (WT) and diabetic (db) leptin receptor (LR) mutant female mice were matched for the allograft of the ovary to construct new genotypic models, ...