Search results for "Functional analysis"
showing 10 items of 1059 documents
A Functional Analysis of the Finnish 2012 Presidential Elections
2016
This study applied the functional theory of political campaign discourse, developed for political campaigns in the United States to two televised presidential debates in the 2012 presidential elections in Finland. Acclaims were the most preferred statement by the candidates, with agreements being the least preferred. Policy was discussed more than character during the debates. General goals and ideals were used more frequently to acclaim than to attack. Results are generally consistent with the results of previous studies of presidential elections in the US and other countries. However, differences did emerge: the classical functional categories were supplemented by a new category, the role…
Reproducing pairs of measurable functions
2017
We analyze the notion of reproducing pair of weakly measurable functions, which generalizes that of continuous frame. We show, in particular, that each reproducing pair generates two Hilbert spaces, conjugate dual to each other. Several examples, both discrete and continuous, are presented.
Differential structure associated to axiomatic Sobolev spaces
2020
The aim of this note is to explain in which sense an axiomatic Sobolev space over a general metric measure space (à la Gol’dshtein–Troyanov) induces – under suitable locality assumptions – a first-order differential structure. peerReviewed
Testing the Sobolev property with a single test plan
2020
We prove that in a vast class of metric measure spaces (namely, those whose associated Sobolev space is separable) the following property holds: a single test plan can be used to recover the minimal weak upper gradient of any Sobolev function. This means that, in order to identify which are the exceptional curves in the weak upper gradient inequality, it suffices to consider the negligible sets of a suitable Borel measure on curves, rather than the ones of the $p$-modulus. Moreover, on $\sf RCD$ spaces we can improve our result, showing that the test plan can be also chosen to be concentrated on an equi-Lipschitz family of curves.
Beta-spectrum shapes of forbidden β decays
2018
The neutrinoless [Formula: see text] decay of atomic nuclei continues to attract fervent interest due to its potential to confirm the possible Majorana nature of the neutrino, and thus the nonconservation of the lepton number. At the same time, the direct dark matter experiments are looking for weakly interacting massive particles (WIMPs) through their scattering on nuclei. The neutrino-oscillation experiments on reactor antineutrinos base their analyses on speculations of [Formula: see text]-spectrum shapes of nuclear decays, thus leading to the notorious “reactor antineutrino anomaly.” In all these experimental efforts, one encounters the problem of [Formula: see text]-spectrum shapes of…
The Eco-tourist in Canadian and Italian national Parks
2013
The present paper aims to compare the image of the eco-tourist across languages and cultures, Canadian and Italian. An ad-hoc comparable corpus has been created from the official websites of National Parks which represent a kind of eco-tourist destination. The analysis attempts to trace a profile of Canadian and Italian eco-tourists Drawing upon the Functional Grammar (Halliday 1985) and addresses issues connected with Hall’s model (1983): Are Canadian and Italian ecotourism discourses shaped by their own cultural orientation, or do they attempt to speak in the tongue of the displaced tourist?
On the intrinsic population of the lowest triplet state of uracil
2007
Abstract From CASPT2//CASSCF quantum-chemical computations it is determined that the lowest triplet state of uracil can be efficiently populated from the initially activated singlet manifold through respective singlet–triplet crossings of the singlet state with the low-lying 3nπ∗ state at 4.6 eV and with the lowest 3ππ∗ state at 4.2 eV located along the minimum energy path of the low-lying 1ππ∗ state. Large spin–orbit coupling elements predict, in particular for the former case, efficient intersystem crossing processes. The wavelength dependence measured for the triplet quantum yield can be explained by the location of the singlet–triplet crossing regions.
Knowledge-building patterns in educational dialogue
2017
This study aimed to examine knowledge-building patterns in Grade 6 educational dialogues. The data consisted of 20 video-recorded lessons from the classes taught by seven teachers, selected by using a latent profile analysis and examined with a qualitative functional analysis of classroom talk. Episodes of educational dialogue were found to represent three main types of knowledge, based on facts, views and experiences. These three types were further identified as forming six diverse knowledge-building patterns in educational dialogues. The findings indicated that factual orientation dominated the Grade 6 lesson dialogues. However, factual knowledge building often occurred with the other two…
On the discreet spectrum of fractional quantum hydrogen atom in two dimensions
2019
We consider a fractional generalization of two-dimensional (2D) quantum-mechanical Kepler problem corresponding to 2D hydrogen atom. Our main finding is that the solution for discreet spectrum exists only for $\mu>1$ (more specifically $1 < \mu \leq 2$, where $\mu=2$ corresponds to "ordinary" 2D hydrogenic problem), where $\mu$ is the L\'evy index. We show also that in fractional 2D hydrogen atom, the orbital momentum degeneracy is lifted so that its energy starts to depend not only on principal quantum number $n$ but also on orbital $m$. To solve the spectral problem, we pass to the momentum representation, where we apply the variational method. This permits to obtain approximate analytica…
Fractional Maximal Functions in Metric Measure Spaces
2013
Abstract We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying metric measure space, fractional maximal operators improve the Sobolev regularity of functions and map functions in Campanato spaces to Hölder continuous functions. We also give an example of a space where fractional maximal function of a Lipschitz function fails to be continuous.