On functional equations of complex powers.
On functions with vanishing local derivative
On Generalized Models and Singular Products of Distributions in Colombeau Algebra G(R)
MSC 2010: 46F30, 46F10Modelling of singularities given by discontinuous functions or distributions by means of generalized functions has proved useful in many problems posed by physical phenomena. We introduce in a systematic way generalized functions of Colombeau that model such singularities. Moreover, we evaluate some products of singularity-modelling generalized functions whenever the result admits an associated distribution.
On generalized periodic solutions of linear differential equations of order n
On generalized solutions of some differential non-linear equations of order n
On generalized solutions to the wave equation in canonical form [Book]
On generation and propagation of tsunamis in a shallow running ocean.
On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support
In this paper we study Beurling type distributions in the Hankel setting. We consider the space of Beurling type distributions on having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space . We also establish Paley Wiener type theorems for Hankel transformations of distributions in .
On Hankel transformable distribution spaces.
On Hermite expansion of
On Hermite expansions of 1/x and 1/|x|
On homogeneous rotation invariant distributions and the Laplace operator
On Hörmander's Theorem about Surjections of ... .
On hypoellipticity in .
On hypoellipticity in g
On infinite derivatives of continuous functions
On introduction of two diffeomorphism invariant Colombeau algebras
Equivalent definitions of two diffeomorphism invariant Colombeau algebras introduced in [7] and [5] (Grosser et al.) are listed and some new equivalent definitions are presented. The paper can be treated as tools for proving in [8] the equality of both algebras.
On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space.
On Multidimensional Generalizations Of Regularly Varying Functions And Tauberian And Abelian Theorems
On multiplication of some generalized functions