Some Remarks on the Extended Hartley-Hilbert and Fourier-Hilbert Transforms of Boehmians

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

On the generalized Hartley and Hartley-Hilbert transformations

*Correspondence: [email protected] 2Department of Mathematics and Institute of Mathematical Research, Universiti Putra Malaysia (UPM), Serdang, Selangor 43400, Malaysia Full list of author information is available at the end of the article Abstract In this paper, we extend Hartley and Hartley-Hilbert transformations (HT and HHT, respectively) to a certain space of tempered distribution...

Remarks on Commutative Hilbert Algebras

The paper shows that commutative Hilbert algebras introduced by Y.B. Jun are just J. C.Abbot’s implication algebras.

Two-dimensional Hilbert Transforms'

Discrete Fractional Hartley and Fourier Transforms

This paper is concerned with the definitions of the discrete fractional Hartley transform (DFRHT) and the discrete fractional Fourier transform (DFRFT). First, the eigenvalues and eigenvectors of the discrete Fourier and Hartley transform matrices are investigated. Then, the results of the eigendecompositions of the transform matrices are used to define DFRHT and DFRFT. Also, an important relat...