scholarly journals On a Polyanalytic Approach to Noncommutative de Branges–Rovnyak Spaces and Schur Analysis

2021 ◽  
Vol 93 (4) ◽  
Author(s):  
Daniel Alpay ◽  
Fabrizio Colombo ◽  
Kamal Diki ◽  
Irene Sabadini

AbstractIn this paper we begin the study of Schur analysis and of de Branges–Rovnyak spaces in the framework of Fueter hyperholomorphic functions. The difference with other approaches is that we consider the class of functions spanned by Appell-like polynomials. This approach is very efficient from various points of view, for example in operator theory, and allows us to make connections with the recently developed theory of slice polyanalytic functions. We tackle a number of problems: we describe a Hardy space, Schur multipliers and related results. We also discuss Blaschke functions, Herglotz multipliers and their associated kernels and Hilbert spaces. Finally, we consider the counterpart of the half-space case, and the corresponding Hardy space, Schur multipliers and Carathéodory multipliers.

2020 ◽  
Vol 32 (2) ◽  
pp. 159-184 ◽  
Author(s):  
Satoko Fujiwara ◽  
Tim Jensen

Abstract Donald Wiebe claims that the IAHR leadership (already before an Extended Executive Committee (EEC) meeting in Delphi) had decided to water down the academic standards of the IAHR with a proposal to change its name to “International Association for the Study of Religions.” His criticism, we argue, is based on a series of misunderstandings as regards: 1) the difference between the consultative body (EEC) and the decision-making body (EC), 2) the difference between the preliminary points of view of individuals and final proposals by the EC, 3) personal conversations, 4) the link between the proposal to change the name and the wish to tighten up the academic profile of the IAHR. Moreover, if the final decision-making bodies, the International Committee and the General Assembly, adopt the proposal, the new name as little as the old can make the IAHR more or less scientific. Tightening up the academic, scientific profile of the IAHR takes more than a change of name.


2001 ◽  
Vol 16 (02) ◽  
pp. 91-98 ◽  
Author(s):  
JULES BECKERS ◽  
NATHALIE DEBERGH ◽  
JOSÉ F. CARIÑENA ◽  
GIUSEPPE MARMO

Previous λ-deformed non-Hermitian Hamiltonians with respect to the usual scalar product of Hilbert spaces dealing with harmonic oscillator-like developments are (re)considered with respect to a new scalar product in order to take into account their property of self-adjointness. The corresponding deformed λ-states lead to new families of coherent states according to the DOCS, AOCS and MUCS points of view.


2020 ◽  
Vol 23 (4) ◽  
pp. 67-73
Author(s):  
Marina A. Droga ◽  
◽  
Nataliya V. Yurchenko ◽  
Svetlana V. Funikova ◽  
◽  
...  

The problem of onomatopoeias as a special lexical group has existed in the language for many decades. Onomatopoeias imitate the sounds of nature, the language of animals, objects of the surrounding world. In the text, onomatopoeia can perform various functions: emotional influence, imitation, as well as the function of language economy. But one of its main functions remains sound imaging. In Russia and China, different language pictures, specific cultural elements and linguistic features are noted. All this confirms the large-scale differences in the sound imitations of both languages, and in various aspects: in the composition of the components, in the functional role, in the meanings. Despite the fact that the differences in the phonetic system of Russian and Chinese are quite large, the onomatopoeias and their functions in the languages under consideration have the same features. Onomatopes are an expression of the same emotions, feelings, sounds both in oral speech and in writing. Chinese onomatopes are a graphic copy that attributes us to the actual sounding. This fact makes onomatopoeias in Chinese similar to onomatopes in Russian. The connection of sound and meaning is especially important: linguists study the nature of this connection from different points of view. It is also important to note the difference between sound imitations and similar interjections. Onomatopes are not only part of the system of the Russian and Chinese languages, but are also a progressive link that develops the resources of the language, its word-forming capabilities, as well as the expressive sphere of expression.


1959 ◽  
Vol 53 (1) ◽  
pp. 78-101 ◽  
Author(s):  
A. J. Brookes ◽  
John Hodges

1. The sources of calves for rearing for beef are discussed and the dependence of the beef industry upon the dairy industry demonstrated.2. An experiment designed to compare the effects of four levels of feeding on the growth rate, conformation, economy of food conversion and type of carcase produced, of three breeds of spring-born steers, Hereford, Dairy Shorthorn and Friesian, is described. The levels of feeding are high or moderate in the calf stage, each followed by high or moderate feeding in subsequent winters.3. The results on growth and time of fattening are given and discussed.4. The calves fed on a high level were almost twice the weight of those fed on a moderate level at 8 months old.5. The well-reared calf had an advantage over the moderately reared calf for the rest of its life.6. Although calves which had been reared moderately showed a marked improvement in growth rate when subsequently fed on a higher level they did not reach the weight of calves fed well throughout at 2 years old.7. The level of feeding in the calf stage had little effect upon the time of fattening provided that the level of feeding in the winter periods of subsequent life was on a high level.8. When subsequent feeding was on a moderate level in the winter months, the calf reared well initially fattened on grass a year earlier than the moderately reared animal.9. The high-moderate treatment is shown to be the most satisfactory from many points of view. On this treatment a minimum of concentrates is used in the production of beef.10. The moderate-moderate cattle may be too heavy for present-day requirements when finished off grass at 3½ years old.11. Cattle which were fed on a high level in winter from 8 to 14 months put on less live weight in the following summer than those fed moderately. A live-weight gain of about 1 lb. a day in winter would appear to be satisfactory if the cattle are to make good use of grass in the following summer.12. These main feeding treatment effects applied to the three breeds used.13. The Friesians were heavier than Dairy Shorthorns or Herefords as calves, and the live weight at most ages was in descending order Friesians, Dairy Shorthorns, Herefords.14. The growth rate of Friesian steers was higher than that of the other two breeds at most stages of life, but the difference between Dairy Shorthorns and Herefords was negligible.15. The Herefords finished earlier than the Dairy Shorthorns and Friesians when fattened in yards or on grass.16. There was some indication (Brookes, 1954) that husk and ringworm caused less trouble with cattle which had been well reared than with those moderately reared.


1996 ◽  
Vol 39 (3) ◽  
pp. 535-546 ◽  
Author(s):  
Takahiko Nakazi

The author has proved that an outer function in the Hardy space H1 can be factored into a product in which one factor is strongly outer and the other is the sum of two inner functions. In an endeavor to understand better the latter factor, we introduce a class of functions containing sums of inner functions as a special case. Using it, we describe the solutions of extremal problems in the Hardy spaces Hp for 1≦p<∞.


2018 ◽  
pp. 38-49
Author(s):  
Yu. Karpenko

The article focuses on the main features of newspaper discourse as a mass information discourse type. On the basis of known in linguistics classifications of the discourse the place of newspaper discourse among them has been analyzed and defined as evaluative, extensive, compelling, interlocutory and manipulative. Its main functions (informing and influencing) and categories (cognitive, communicative, metadisсursive) have been singled out. The newspaper discourse has been considered from the points of view of the addresser and the addressee of media messages. As the recipient of newspaper communication is the mass audience with different interests, knowledge degree, intelligence, background, age, culture, life experience, and geographical location, the addresser should solve a difficult problem of engaging the interest to their edition of the most part of this audience. For this purpose, authors use different models of covering the material (actual and author’s), as well as means and devices of presenting the information by selecting the expressive verbal and nonverbal components corresponding to the addressee, appealing to their consciousness, influencing them by means of a combination of expressiveness and standardization. In the article the difference between the terms “mass information media” (MIM) and “mass communication media” (MCM) has been explained. Thus, MIM are monological, unidirectional and responsible for mass informing of the society, whereas MCM, forming public opinion, influence public and individual consciousness, create situations of dialogueness/interactivity, and multidirectional information flow. The comprehensive purposes of a newspaper discourse, such as informing, influencing the reader and forming public opinion, have also been outlined, especially referring to electronic newspapers, MCM of the new age. It has been defined that these convergent media as the center of a modern newspaper discourse are easily accessible, fast, popular with youth, have additional opportunities (photos or videos, comments, discussions, hyperlinks to other sources, two-way communication), and therefore the addresser has a more effective influence on the necessary category of addressees.


2019 ◽  
pp. 55-58
Author(s):  
Aleksandr Viktorovich Savchenko ◽  
Anna Gennadevna Bodrova

In this article, from the linguistic and ethnoculturological points of view are analyzed Ukrainian texts of epigraphs in «The Fair at Sorochyntsi» by N.V. Gogol, included in the Russian-language prose, which is an integral part of Russian literature, culture and history. Purpose of the article: This work is an attempt to interpret Ukrainian conceptual symbols, images and metaphors used by the author to create a special atmosphere of Ukrainian identity. Methods: In the study the methods of contextual-pragmatic and lexical analysis are used. In particular, the subject of our study is the Ukrainian texts of the epigraphs to each of the chapters of the above-mentioned literary work, which, due to insufficient knowledge of the Ukrainian cultural context, are far from always deeply understood by the Russian reader and do not always evoke the same associative series as the bearer of the Ukrainian worldview, although close to the Russian one, but still significantly different from it. Results: As a result of the study it is possible to state, that here we deal with the problem of the difference in the cultural perception and understanding the original significance, laid down by N. Gogol in the text and the meaning of his work. It is concluded that the analyzed text of Gogol demonstrates not only the cultural similarity of the two peoples, but, which seems to be more important, the differences in the worldview and way of life of Ukrainians and Russians. The epigraphs in Ukrainian cited by the writer at the beginning of the each chapter serve as a kind of «textual marker», which helps the reader to delve deeper into the content of the text and try to understand not only explicit meaning but also implicit senses implied by the author in its structure.


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