scholarly journals Conjugate Transforms on Dyadic Group

2021 ◽  
Vol 56 (1) ◽  
pp. 9-22
Author(s):  
U. Goginava ◽  
A. Saatashvili
Keyword(s):  
Author(s):  
Prasadini Mahapatra ◽  
Divya Singh

Scaling and generalized scaling sets determine wavelet sets and hence wavelets. In real case, wavelet sets were proved to be an important tool for the construction of MRA as well as non-MRA wavelets. However, any result related to scaling/generalized scaling sets is not available in case of locally compact abelian groups. This paper gives a characterization of scaling sets and its generalized version along with relevant examples in dual Cantor dyadic group [Formula: see text]. These results can further be generalized to arbitrary locally compact abelian groups.


2013 ◽  
Vol 4 (2) ◽  
pp. 71-103 ◽  
Author(s):  
Richard L. Lanigan

Communicology is the science of human communication where consciousness is constituted as a medium of communication at four interconnected levels of interaction experience: intrapersonal (embodied), interpersonal (dyadic), group (social), and inter-group (cultural). The focus of the paper is the group level of communication across generations, thus constituting inter-group communication that stabilizes norms (forms a culture). I propose to explicate the way in which the method of semiotic phenomenology informs the pioneering work at the University of Toronto by Tom McFeat, a Harvard trained cultural anthropologist, on small group cultures as an experimental research methodology. Rather than the cognitiveanalytic (Husserl‘s transcendental eidetic) techniques suggest by Don Ihde as a pseudo "experimental phenomenology", McFeat provides an applied method for the empirical experimental constitution of culture in conscious experience. Group cultures are constructed in the communicological practices of group formation and transformation by means of a selfgenerating group narrative (myth) design. McFeat‘s method consists of three steps of culture formation by communication that are: (1) Content-Ordering, (2) Task-Ordering, and (3) Group-Ordering, i.e., what Ernst Cassirer and Karl Jaspers call the logic of culture or Culturology. These steps are compared to the descriptive phenomenology research procedures suggested by Amedeo Giorgi following Husserl‘s approach: (1) Find a sense of the whole, (2) Determine meaning units, (3) Transform the natural attitude expressions into phenomenologically, psychologically sensitive expressions. A second correlation will be made to Richard Lanigan‘s semiotic phenomenology method following the work of Cassirer, Jaspers, and Merleau-Ponty: (1) Description of Signs, (2) Reduction of Signifiers, and (3) Interpretation of Signifieds.


2019 ◽  
Vol 24 (1) ◽  
pp. 3-25
Author(s):  
Keith Leavitt ◽  
Feng Qiu ◽  
Debra L. Shapiro

Organizational scholars frequently rely on experiments using human confederates or descriptions of vignette characters to study a range of phenomena. Although experiments with confederates allow for realism and rigor, human confederates have several critical limitations. We present a novel and efficient alternative: the use of responsive electronic confederates for manipulating constructs in dyadic, group, and team contexts. Specifically, we (a) define electronic confederates in an organizational research context, identify their optimal qualities, and review studies that have used them; (b) discuss challenges of utilizing human confederates and how electronic confederates may address these; (c) identify boundary conditions around using electronic confederates and, within these conditions, identify the many types of inquiry that can be aided by electronic confederates; (d) discuss validation strategies for electronic confederates, while increasing their believability to study participants; (e) provide materials for two versions of an adaptable research platform involving electronic confederates; and (f) identify future opportunities for developing novel tools for behavioral research. Our article thus provides a toolkit for organizational researchers that empowers them to utilize electronic confederates in their own research.


1982 ◽  
Vol 34 (3) ◽  
pp. 759-764 ◽  
Author(s):  
Kaoru Yoneda

Let ω0, ω1, … denote the Walsh-Paley functions and let G denote the dyadic group introduced by Fine [3]. Recall that a subset E of G is said to be a set of uniqueness if the zero series is the only Walsh series ∑ akωk which satisfiesA subset E of G which is not a set of uniqueness is called a set of multiplicity.It is known that any subset of G of positive Haar measure is a set of multiplicity [5] and that any countable subset of G is a set of uniqueness [2]. As far as uncountable subsets of Haar measure zero are concerned, both possibilities present themselves. Indeed, among perfect subsets of G of Haar measure zero there are sets of multiplicity [1] and there are sets of uniqueness [5].


1979 ◽  
Vol 31 (4) ◽  
pp. 858-866 ◽  
Author(s):  
William R. Wade

Let G denote the group of integers of a p-series field, where p is a prime ≦ 2. Thus, any element can be represented as a sequence {xi }i = 0∞ with 0 ≦ xi < p for each i ≦ 0. Moreover, the dual group {Ψm}m = 0∞ of G can be described by the following process. If m is a non-negative integer with for each k , and if then(1)where for each integer k ≧ 0 and for each x = {xi} ∈ G the functions Φk are defined by(2)In the case that p = 2, the group G is the dyadic group introduced by Fine [1] and the functions are the Walsh-Paley functions. A detailed account of these groups and basic properties can be found in [4].


2015 ◽  
Vol 41 (1-2) ◽  
pp. 73-81 ◽  
Author(s):  
A. I. Rubinsteĭn
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document