Isomorphism of spaces of analytic functions on n-circular domains

The space A(D) of all analytic functions in a complete n-circular do- main D in Cn; n 2; is considered with a natural Fréchet topology. Some su¢ cient conditions for the isomorphism of such spaces are ob- tained in terms of certain subtle geometric characteristic of domains D. This investigation complements essentially the second authors result [8] on necessary geometric conditions of such isomorphisms

On basis structure of power Köthe spaces of the first type

It is proved that Montel power Köthe spaces of the first type [5,8] have the structure of basis subspaces of the finite or infinite type invariant under isomorphisms, which strengthens authors’ previous results (joint with T. Terzioğlu) [18,19]. The main tools are special compound linear topological invariants, which evaluate classical geometric characteristic (namely inverse Bernstein diameters) of certain invariant multi-parameter constructions built from given bases of neighborhoods or bounded sets

Multirectangular invariants for power Köthe spaces

Using some new linear topological invariants, isomorphisms and quasidiagonal isomorphisms are investigated on the class of first type power Köthe spaces [Proceedings of 7th Winter School in Drogobych, 1976, pp. 101–126; Turkish J. Math. 20 (1996) 237–289; Linear Topol. Spaces Complex Anal. 2 (1995) 35–44]. This is the smallest class of Köthe spaces containing all Cartesian and projective tensor products of power series spaces and closed with respect to taking of basic subspaces (closed linear hulls of subsets of the canonical basis). As an application, it is shown that isomorphic spaces from this class have, up to quasidiagonal isomorphisms, the same basic subspaces of finite (infinite) type

Validation of Observed Bedload Transport Pathways Using Morphodynamic Modeling

Phenomena related to braiding, including local scour and fill, channel bar development, migration and avulsion, make numerical morphodynamic modeling of braided rivers challenging. This paper investigates the performance of a Delft3D model, in a 2D depth-averaged formulation, to simulate the morphodynamics of an anabranch of the Rees River (New Zealand). Model performance is evaluated using data from field surveys collected on the falling limb of a major high flow, and using several sediment transport formulas. Initial model results suggest that there is generally good agreement between observed and modeled bed levels. However, some discrepancies in the bed level estimations were noticed, leading to bed level, water depth and water velocity estimation errors

Fluorescence of the Polymethine Dye Tiks and Diagnostics af Cancert

It is shown that the fluorescence of the polymethine dye TIKS, whose absorption and fluorescence bands are located in the spectral region of transmission of biological tissues, can be recorded from a depth of up to 1.5 cm of an animal’s body. The intensity of the fluorescence recorded from the surface of the animal’s body in intravenous injection of the dye (1–2 mg/kg) is in direct proportion to its concentration in tumor nodes and muscles. In rapidly growing tumors, a high (up to 3.6) degree of contrast of the content of the dye is attained in tumor tissues as compared to the surrounding normal tissues. Over the course of 7 days after the injection, the dye is practically completely removed from both the tumor and normal muscular tissues. From the change in the fluorescence intensity in scanning the surface one can determine the regions of localization of tumor nodes against the background of the surrounding normal tissues and the presence of regions with a nonuniform distribution of the dye

A toolbox for sediment budget research in small catchments

© 2017, Lomonosov Moscow State University. All rights reserved. Sediment monitoring and assessment remain one of the most challenging tasks in fluvial geomorphology and water quality studies. As a response to various environmental and human disturbance effects, the main sources and pathways of the sediments transported within catchments, especially most pristine small one, may change. The paper discusses state-of-the-art in the sediment budget research for small catchments. We identified nine independent approaches in the sediment transport assessment and applied them in 11 catchments across Eurasia in the framework of an FP-7 Marie Curie-International Research Staff Exchange Scheme in 2012-2016. These methods were classified as: i) Field-based methods (In-situ monitoring of sediment transport;-Soil morphological methods and dating techniques; Sediment source fingerprinting; Sediment-water discharge relationships), ii) GIS and remote sensing approaches (Riverbed monitoring based on remote sensing/historical maps; parametrization of the channel sediment connectivity; Sediment transport remote sensing modeling), and iii) Numerical approaches (Soil erosion modeling and gully erosion (stochastic and empirical models); channel hydrodynamic modeling). We present the background theory and application examples of all selected methods. Linking fieldbased methods and datasets with numerical approaches, process measurements as well as monitoring can provide enhanced insights into sediment transfer and related water quality impacts. Adopting such integrated and multi-scale approaches in a sediment budget framework might contribute to improved understanding of hydrological and geomorphological responses

Hydro-climatic changes of wetlandscapes across the world

Assessments of ecosystem service and function losses of wetlandscapes (i.e., wetlands and their hydrological catchments) suffer from knowledge gaps regarding impacts of ongoing hydro-climatic change. This study investigates hydro-climatic changes during 1976–2015 in 25 wetlandscapes distributed across the world’s tropical, arid, temperate and cold climate zones. Results show that the wetlandscapes were subject to precipitation (P) and temperature (T) changes consistent with mean changes over the world’s land area. However, arid and cold wetlandscapes experienced higher T increases than their respective climate zone. Also, average P decreased in arid and cold wetlandscapes, contrarily to P of arid and cold climate zones, suggesting that these wetlandscapes are located in regions of elevated climate pressures. For most wetlandscapes with available runoff (R) data, the decreases were larger in R than in P, which was attributed to aggravation of climate change impacts by enhanced evapotranspiration losses, e.g. caused by land-use changes

Publisher Correction: Hydro-climatic changes of wetlandscapes across the world (Scientific Reports, (2021), 11, 1, (2754), 10.1038/s41598-021-81137-3)

In the original version of this Article, V. H. Rivera-Monroy was incorrectly affiliated with ‘Alexander von Humboldt Biological Resources Research Institute, Calle 28 A No. 15-09, Bogotá, DC, 70803, Colombia’. The correct affiliation is listed below. Department of Oceanography and Coastal Sciences, College of the Coast and Environment, Louisiana State University, Baton Rouge, LA 70803, USA As a result, Affiliations 22–27 were incorrectly listed as Affiliations 21–26 respectively. The original Article has been corrected

Neutral H density at the termination shock: a consolidation of recent results

We discuss a consolidation of determinations of the density of neutral interstellar H at the nose of the termination shock carried out with the use of various data sets, techniques, and modeling approaches. In particular, we focus on the determination of this density based on observations of H pickup ions on Ulysses during its aphelion passage through the ecliptic plane. We discuss in greater detail a novel method of determination of the density from these measurements and review the results from its application to actual data. The H density at TS derived from this analysis is equal to 0.087 \pm 0.022 cm-3, and when all relevant determinations are taken into account, the consolidated density is obtained at 0.09 \pm 0.022 cm-3. The density of H in CHISM based on literature values of filtration factor is then calculated at 0.16 \pm 0.04 cm-3.Comment: Submitted to Space Science Review

T-odd correlation in the K+ ->pi l nu gamma decays beyond Standard Model

The dependence of the T-odd correlation on the effective Lagrangian parameters in the $K^+ \to \pi l \nu \gamma, l=e, \mu$ decays is analyzed. It is shown that the introduced observable is perspective in a search for new physics in the vector and pseudovector sector of the Lagrangian. As for scalar and pseudoscalar sectors, the T-odd correlation studies will not allow one to improve current restrictions on parameters of models beyond SM.Comment: 18 pages, 1 figur