We present new properties of the Besov--Hankel spaces introduced in . We prove a Hankel version of a result of Bui, Paluszyński
and Taibleson obtaining new norms that define the topology of the Besov--Hankel spaces. Also we get atomic representations
for the distributions in the spaces under consideration.
Summary Classical representations of the Legendre polynomials in terms of generating functions are nonconvergent in the usual sense for extreme values of the generating parameter. A generalized type of convergence is explored and, in conjunction with the theory of Fourier series and spherical harmonics, it is applied to the computation of the fundamental solution of the Laplace-Beltrami operator on the n-sphere.
The main purpose of this note is to exhibit a concrete representation for a four atom relation algebra which was known to be representable without an actual representation having been found. Along the way, representations are given for all integral relation algebas with four atoms which are generated by a partial order.
The application of biliometric methods and tools for analysing data from information sciences and patent data bases allow us to obtain different representations of an area that is particularly fragmented and difficult to interpret: plant biotechnologies in which nitrogen fixation has been particularly highlighted.
dictated by autonomous specialties and theories. Clinical psychology emphasized the role of the patient's representations and, less centrally, his or her relational life, whereas psychobiology research was looking for organic causes of the pathology
representations ( synonym ), e.g. the names “J. E. Katz”, “James Katz” or “James E. Katz” can all refer to the same person. Synonyms can be avoided to a big extend by manual intervention: Therefore, a list of all author's surnames in alphabetical order is
Challenges III–V involve persons, products, and institutions. These data are organized in our model as shown in Fig. 3 . In general terms, graphical representations of facts and dimensions like the one shown in Fig. 3