[PDF] Top 20 Some new properties and applications of a fractional Fourier transform
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Some new properties and applications of a fractional Fourier transform
... derive some new important properties of the fractional Fourier transform including new operational ...the fractional differential equations with both left- ... See full document
15
FREDHOLM’S EQUATION AND FOURIER TRANSFORM ON DISCRETE ELECTROMAGNETIC SYSTEMS
... possibility of occurrence of phenomena that have his nearly identical partner in quantum mechanical ...solutions of the Lippmann-Schwinger equation for non-local and non-separable potentials ... See full document
14
Some properties of the fractional circle Zernike polynomials
... values of ν far from the corresponding integer value already studied in the ...increasing of the maximum value of the figure’s ...interpretation and it could help in the study of each ... See full document
9
Applications of Fourier methods to the analysis of some stochastic processes
... sections of this work, admits a general formulation that can be stated as ...sense of a random object (see [31, p. 9]), by the action of a random operator on an usual Borel measure, in a way such ... See full document
116
Some properties of generalized fractional integral with Lengendre functions kernels
... + and I − α,β,μ,ν defined below) which generalize the classical Liouville fractional ...Mellin transform of the fractional integrals presented in this ... See full document
8
New convolutions for quadratic-phase Fourier integral operators and their applications
... obtain new convolutions for quadratic-phase Fourier integral operators (which include, as subcases, ...the fractional Fourier transform and the linear canonical ...structure ... See full document
18
Radix-3 Algorithm for Realization of Discrete Fourier Transform
... a new radix-3 algorithm for realization of DFT of length N = 3 m (m = 1, 2, ...DFT of length N can be realized from three DFT sequences, each of length ...calculation of DFT ... See full document
5
A NEW FRACTIONAL MODEL OF SINGLE DEGREE OF FREEDOM SYSTEM, BY USING GENERALIZED DIFFERENTIAL TRANSFORM METHOD
... differential transform method (GDTM) is a powerful method to solve the fractional differential ...a new fractional model for systems with single degree of freedom (SDOF) is presented, ... See full document
13
On the solution of some fractional differential equations
... B. and Spanier J. (1974) : Fractional Calculus: Theory and Applications, Differentiation and Integration to Arbitrary ...Inc., New York-London, Podlubny, I. (2005): ... See full document
7
An introduction to distribution theory, Fourier transform, Sobolev spaces and its applications to the Black-Scholes Equation
... solution of a differential operator and the Fourier transform in the next ...relatively new. It was named only around 1950 despite one of its first appearances in the eighteen ... See full document
67
ANALYSIS AND APPLICATIONS OF LAPLACE /FOURIER TRANSFORMATIONS IN ELECTRIC CIRCUIT
... Solution of second order linear and ordinary, differential equations can be obtained by Laplace transformation, which converts differential equation into an algebraic equation with incorporation of ... See full document
7
Critical analysis of autoregressive and fast Fourier transform markers of cardiovascular variability in rats and humans
... estimation of cardiovas- cular system time series has not been established (10-12), several advantages and disadvantages regarding para- metric and non-parametric methods have been ...advantages ... See full document
11
On integral operators generated by the Fourier transform and a reflection
... types of mathematical applications it is useful to apply more than once the Fourier transformation (or its inverse) to the same object, as well as to use algebraic combinations of the ... See full document
25
Generalizations of the Fourier transform and their applications
... class of integral transforms arose from paraxial optics and quantum mechanics, separately, but simultaneously, during the seventies of the last century (see [70, ...family of transforms ... See full document
204
Sharpening the response of an FIR filter using Fractional Fourier Transform
... Now-a-days Fractional Fourier transform has been widely used as tool in signal processing [1], quantum mechanics and quantum optics [2-5], pattern recognisation [6] and study of ... See full document
8
Inequalities and consequences of new convolutions for the fractional Fourier transform with Hermite weights
... propose new convolutions for the FrFT which are related with the Hermite ...The new convolutions will imply several inequalities and consequences in a very global ...sections and organized as ... See full document
11
Two new convolutions for the fractional Fourier transform
... the fractional Fourier transforms (FRFT), and prove natural algebraic properties of the cor- responding multiplications such as commutativity, associativity and distribu- tivity, ... See full document
15
Some operational properties of the Laguerre transform
... branches of pure and applied mathematics and mathematical physics (see ...Laguerre transform and derived some of its ...the applications in study of heat ... See full document
11
A Fourier transform infrared trace gas and isotope analyser for atmospheric applications
... understanding of the individual processes and magnitudes of GHG exchanges, but are nec- essarily ...up-scaling and ex- trapolation if they are to be used in global-scale models of GHG ... See full document
18
Optimization conditions for some fractional problems
... function and the order of the derivative is ...present some generalizations of known theorems in the calculus of variations, for the fractional ...cases of k and ⌫, ... See full document
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