GENERALIZED FUBINI TRANSFORM WITH TWO VARIABLES

On a Generalized Retarded Integral Inequality with Two Variables

Two-dimensional affine generalized fractional Fourier transform

As the one-dimensional (1-D) Fourier transform can be extended into the 1-D fractional Fourier transform (FRFT), we can also generalize the two-dimensional (2-D) Fourier transform. Sahin et al. have generalized the 2-D Fourier transform into the 2-D separable FRFT (which replaces each variable 1-D Fourier transform by the 1-D FRFT, respectively) and 2D separable canonical transform (further rep...

F^1-transform of Functions of Two Variables

In this contribution, the F 1-transform of functions of two variables is introduced. It combines properties of the F-transform of functions of two variables and the F 1-transform of functions of one variable. The aim of this study is to prove approximation properties of the F 1-transform components and of the inverse F 1-transform in this particular case.

GENERALIZED RESIDUATED LATTICES BASED F-TRANSFORM

The aim of the present work is to study the  $F$-transform over a generalized residuated lattice.  We discuss the properties that are common with the $F$-transform over a residuated lattice. We show that the $F^{uparrow}$-transform can be used in establishing a fuzzy (pre)order on the set of fuzzy sets.

Path Integrals with Generalized Grassmann Variables

We construct path integral representations for the evolution operator of q-oscillators with root of unity values of q-parameter using BargmannFock representations with commuting and non-commuting variables, the differential calculi being q-deformed in both cases. For q = −1 we obtain a new form of Grassmann-like path integral. on leave of absence from Nuclear Physics Institute, Moscow State Uni...