GB*-Algebras associated with inductive limits of Hilbert spaces
Gelfand transform for a Boehmian space of analytic functions
Let denote the usual commutative Banach algebra of bounded analytic functions on the open unit disc of the finite complex plane, under Hadamard product of power series. We construct a Boehmian space which includes the Banach algebra A where A is the commutative Banach algebra with unit containing . The Gelfand transform theory is extended to this setup along with the usual classical properties. The image is also a Boehmian space which includes the Banach algebra C(Δ) of continuous functions on...
General Tauberian theorem in .
Generalizations of non-commutative neutrix convolution products of functions.
Generalized analytic functions with applications to singular ordinary and partial differential equations [Book]
Generalized Bochner-Schwartz theorem for tempered ultradistributions.
Generalized densities and distributional adjoints of natural operators.
Generalized Dunkl--Sobolev spaces of exponential type and applications.
Generalized Fourier expansions for distributions and ultradistributions.
Generalized Fractional Calculus With Application in Mechanics
Generalized Fractional Evolution Equation
2000 Mathematics Subject Classification: Primary 46F25, 26A33; Secondary: 46G20In this paper we study the generalized Riemann-Liouville (resp. Caputo) time fractional evolution equation in infinite dimensions. We show that the explicit solution is given as the convolution between the initial condition and a generalized function related to the Mittag-Leffler function. The fundamental solution corresponding to the Riemann-Liouville time fractional evolution equation does not admit a probabilistic...
Generalized Function Algebras and PDEs with Singularities. A Survey.
Generalized functionals of Brownian motion.
Generalized functions and their applications.
Generalized functions on adeles. Linear and non-linear theories
We consider various generalizations of linear homogeneous distributions on adeles and construct a number of algebras of non-linear generalized functions on adeles and totally disconnected groups such as the discrete adeles.
Generalized Gevrey classes and multi-quasi-hyperbolic operators.
Generalized Gevrey ultradistributions.
Generalized Hermitean ultradistributions
In this paper we define, by duality methods, a space of ultradistributions . This space contains all tempered distributions and is closed under derivatives, complex translations and Fourier transform. Moreover, it contains some multipole series and all entire functions of order less than two. The method used to construct led us to a detailed study, presented at the beginning of the paper, of the duals of infinite dimensional locally convex spaces that are inductive limits of finite dimensional...
Generalized Levy representation of norms and isometric embeddings into -spaces
Generalized random processes on the Zemanian space .