The -optimal convolving functions in reconstruction convolution algorithms
The Lambert transform on
The link between the kernel method and the method of adjoints for the generalized index -transform
In this note we show that the two definitions of generalized index -transform given in the previous works [1] and [2] agree for distributions of compact support.
The Mehler-Fock transform of general order and arbitrary index and its inversion.
The Meilin Transform of the Partial Fraction Expansion for 0 (x).
The Mejer transformation of generalized functions.
The modified Cauchy transformation with applications to generalized Taylor expansions
We generalize to the case of several variables the classical theorems on the holomorphic extension of the Cauchy transforms. The Cauchy transformation is considered in the setting of tempered distributions and the Cauchy kernel is modified to a rapidly decreasing function. The results are applied to the study of "continuous" Taylor expansions and to singular partial differential equations.
The n-dimensional distributional Mellin transformation.
The Pfaffian transform.
The Quasiasymptotic Expansion and the Moment Expansion of Tempered Distributions
The Radon Transform for Forms of Type (1, 1) on a Complex Projective Space.
The Radon Transform for Forms of Type (1, 1) on Complex Projective Space (Erratum).
The second continuous Jacobi transform.
The Stieltjes transform of distributions.
The wavelet transform on Sobolev spaces and its approximation properties.
Theorems on some families of fractional differential equations and their applications
We use the Laplace transform method to solve certain families of fractional order differential equations. Fractional derivatives that appear in these equations are defined in the sense of Caputo fractional derivative or the Riemann-Liouville fractional derivative. We first state and prove our main results regarding the solutions of some families of fractional order differential equations, and then give examples to illustrate these results. In particular, we give the exact solutions for the vibration...
Three-dimensional reconstruction from projections
Computerized tomograhphy is a technique for computation and visualization of density (i.e. X- or -ray absorption coefficients) distribution over a cross-sectional anatomic plane from a set of projections. Three-dimensional reconstruction may be obtained by using a system of parallel planes. For the reconstruction of the transverse section it is necessary to choose an appropriate method taking into account the geometry of the data collection, the noise in projection data, the amount of data, the...
Transformadas De Poisson De Funciones No-Estandares.
Transformations de Laplace et de Mellin. Formulaires. Mode d'utilisation [Book]
Two weight function norm inequalities for the Hardy-Littlewood maximal function and the Hilbert transform