We propose a functional version of the Hodrick–Prescott filter for functional data which take values in an in nite-dimensional separable Hilbert space. We further characterize the associated optimal smooth- ing operator when the associated linear operator is compact and the underlying distribution of the data is Gaussian.

We introduce a model description of femtosecond laser induced desorption at surfaces. The substrate part of the system is taken into account as a (possibly semi-infinite) linear chain. Here, being especially interested in the early stages of dissociation, we consider a finite-size implementation of the model (i.e., a finite substrate), for which an exact numerical solution is possible. By time-evo

Hidden Markov models are often used to model daily returns and to infer the hidden state of financial markets. Previous studies have found that the estimated models change over time, but the implications of the time-varying behavior have not been thoroughly examined. This paper presents an adaptive estimation approach that allows for the parameters of the estimated models to be time varying. It is

We study a version of the functional Hodrick–Prescott filter in the case when the associated operator is not necessarily compact but merely closed and densely de ned with closed range. We show that the associated optimal smoothing operator preserves the structure obtained in the compact case when the underlying distribution of the data is Gaussian.

We consider a large class of operator means and prove that a number of ergodic theorems, as well as growth estimates known for particular cases, continue to hold in the general context under fairly mild regularity conditions. The methods developed in the paper not only yield a new approach based on a general point of view, but also lead to results that are new, even in the context of the classical

Photosensitization, an exaggerated sensitivity to harmless light, occurs genetically in rare diseases, such as porphyrias, and in photodynamic therapy where short-term toxicity is intended. A common feature is the experience of pain from bright light. In human subjects, skin exposure to 405 nm light induced moderate pain, which was intensified by pretreatment with aminolevulinic acid. In heterolog

The key steps in cellular signaling and regulatory pathways rely on reversible noncovalent protein-ligand binding, yet the equilibrium parameters for such events remain challenging to characterize and quantify in solution. Here, we demonstrate a microfluidic platform for the detection of protein-ligand interactions with an assay time on the second timescale and without the requirement for immobili

Background: Migraine and Cluster Headache (CH) are two primary headaches with severe disease burden. The disease expression and the mechanisms involved are poorly known. In some attacks of migraine and in most attacks of CH, there is a release of vasoactive intestinal peptide (VIP) originating from parasympathetic cranial ganglia such as the sphenopalatine ganglion (SPG). Patients suffering from t

Denna rapport vänder sig i huvudsak till arbetsterapeuter och arbetsstuderande som arbetar eller kommer att arbeta med personer med psykiskt funktionshinder och deras aktivitetsproblematik. I början av rapporten beskrivs kortfattat vad psykiskt funktionshinder innebär och vad det kan betyda för en person att leva med psykiskt funktionshinder, främst gällande aktiviteter i vardagen utifrån aktuell FSA anser att det ligger ett stort värde i att arbeten av väsentlig betydelse för arbetsterapins och arbetsterapeuters utveckling, presenteras på ett lätttillgängligt sätt. Mot denna bakgrund har förbundet beslutat att ge ut FoU-rapporter. I denna FoU-rapport delger författaren Christel Leufstadius (Leg. Arbetsterapeut, Dr. med.vet.) oss information om att leva med psykiskt funktionshinder samt te

Making decisions between alternatives are challenging when there is weak or unreliable knowledge about the risks and benefits of the alternatives. This requires a trade-off between risks (and benefits). Here, we comment on a recent paper on risk–risk trade-offs and highlight the difficulties of making such trade-offs when the available evidence is of different strength. One current example of a ri

Efficient visible-light-driven photocatalysis can be achieved over conventional wide band gap semiconductor, in which iodinated SnO2 quantum dots (QDs) are synthesized via hydrolysis of crystalline SnI4 in the absence of any additives or templates. The formation of SnO2 QDs reveals a wide preparation window and a very fast growth rate in minute scale. The iodine species may only exist on the surfa

A few central transcription factors inside mouse embryonic stem (ES) cells and induced pluripotent stem (iPS) cells are believed to control the cells' pluripotency. Characterizations of pluripotent state were put forward on both transcription factor and epigenetic levels. Whereas core players have been identified, it is desirable to map out gene regulatory networks which govern the reprogramming o

We used temperature-programmed desorption (TPD) and reflection absorption infrared spectroscopy (RAIRS) to characterize the adsorption of NO on crystalline iron oxide films grown on Ag(111), including a Fe3O4(111) layer, an FeO(111) monolayer, and an intermediate FeOx multilayer structure. TPD shows that the NO binding energies vary significantly among the Fe cation sites present on these FeOx sur

Accumulation of intraneuronal inclusions, containing mainly a protein called alpha-synuclein (asyn), is thought to play a critical role in neurodegenerative disorders such as Parkinson's disease (PD). In these so called Lewy bodies, the majority of asyn is phosphorylated at serine 129 (pS129) suggesting that post-translational modifications may play a critical role in the process of aggregate form

The combination of complementary measurement techniques has become a frequent approach to improve scientific knowledge. Pairing of the high lateral resolution scanning force microscopy (SFM) with the spectroscopic information accessible through scanning transmission soft x-ray microscopy (STXM) permits assessing physical and chemical material properties with high spatial resolution. We present pro