We prove a unicity theorem of Nevanlinna for meromorphic mappings of P into Pm. 1. INTR~DuOTI~N As an application of Nevanlinna’s second main theorem and Borel’s lemma, R. Nevanlinna proved that for any two meromorphic functions in the complex plane @ on which they share four distinct values, then, these two meromorphic functions are the same up to a Mijbius transformation. Since then, there ha...

The field of two-dimensional filters and their design methods have been approached by many researchers, for more than three decades (Lim, 1990; Lu & Antoniou, 1992). A commonly-used design technique for 2D filters is to start from a specified 1D prototype filter and transform its transfer function using various frequency mappings in order to obtain a 2D filter with a desired frequency response....

In fractal coding technique, an image is encoded by making use of its self-similarity property. The image can be reconstructed with some well-defined contractive mappings based on this property and hence, in theory, the reconstructed image can be of any desirable size by using an initial image of appropriate size during the decoding process. However, in practice, the enlarged image is always de...

Locally convex convolutor spaces are studied which consist of those distributions that define a continuous convolution operator mapping from the space test functions into given locally lattice measures. The endowed with topology uniform convergence on bounded sets. Their structure is characterized via regularization and function-valued seminorms under mild structural assumptions Many recent gen...

We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued (e.g., differentials). The are applied two areas: (1) theory vector bundles, to construct new bundles from given ones, such as dual topological tensor products, infinite direct sums, completions (under suitable hypotheses); (2) locally c...

As an application of Hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. We have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear Backlund transformations and construction of ...

We address the problem of using a kernel spectral criterion function for feature selection. A feature selection paradigm using spectral properties of the affinity matrix of the input data was recently introduced in [11] and which leads to a bilinear interaction between entries of the data sample. Our goal in this paper is to extend the idea of spectral criteria for feature selection to higher o...

Due to avoiding the key escrow problem in the identity-based cryptosystem, certificateless public key cryptosystem (CLPKC) has received a significant attention. As an important part of the CLPKC, the certificateless authenticated key agreement (CLAKA) protocol also received considerable attention. Most CLAKA protocols are built from bilinear mappings on elliptic curves which need costly operati...