A characterization of the space
A commutative neutrix convolution of distributions and the exchange formula
A comparison on the commutative neutrix convolution of distributions and the exchange formula
Let , be ultradistributions in and let and where is a sequence in which converges to the Dirac-delta function . Then the neutrix product is defined on the space of ultradistributions as the neutrix limit of the sequence provided the limit exist in the sense that for all in . We also prove that the neutrix convolution product exist in , if and only if the neutrix product exist in and the exchange formula is then satisfied.
A contribution to the equivalence results for the product of distributions
Products and , defined by model delta-nets, are equivalent.
A convolution product of th derivative of Dirac's delta in and multiplicative distributional product between and .
A distributional representation of strip analytic functions.
A distributional summation formula of Euler-MacLaurin type in two variables.
A functional equation of Aczél and Chung in generalized functions.
A general integral [Book]
A Note on Multipliers for Integrable Boehmians
2000 Mathematics Subject Classification: 44A40, 42A38, 46F05The product of an entire function satisfying a growth condition at infinity and an integrable Boehmian is defined. Properties of this product are investigated.
A note on the convolution and the product and .
A note on the convolution in the Mellin sense with generalized functions.
A note on the spaces and .
A proof of the theorem of supports
A remark on singular supports of convolutions.
A sequential theory of some semigroups in special spaces of generalized functions
A Singular Convolution Equation In The Space Of Distributions
A singular convolution equation in the space of distributions.
A structural theorem for distributions having S-asymptotic.
A Tauberian theorem for distributions
The well-known general Tauberian theorem of N. Wiener is formulated and proved for distributions in the place of functions and its Ganelius' formulation is corrected. Some changes of assumptions of this theorem are discussed, too.