Generalized Cauchy functional equation and characterizations of inner product spaces.
Generalized Cauchy functional equation and characterizations of inner product spaces. (Summary).
Generalized centers of finite sets in Banach spaces.
Generalized densities and distributional adjoints of natural operators.
Generalized derivations and -algebras.
Generalized derivations on Lie ideals in prime rings
Let be a prime ring with its Utumi ring of quotients and extended centroid . Suppose that is a generalized derivation of and is a noncentral Lie ideal of such that for all , where is a fixed integer. Then one of the following holds:
Generalized difference sequence spaces defined by a sequence of moduli
Generalized difference sequence spaces defined by Orlicz functions.
Generalized Dunkl--Sobolev spaces of exponential type and applications.
Generalized fatou inequalities
Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces
In this paper we deal with weakly upper semi-continuous set-valued maps, taking arbitrary non-empty values, from a non-metric domain to a Banach space. We obtain selectors having the point of continuity property relative to the norm topology for a large class of compact spaces as a domain. Exact conditions under which the selector is of the first Borel class are also investigated.
Generalized Fock spaces, interpolation, multipliers, circle geometry.
By a (generalized) Fock space we understand a Hilbert space of entire analytic functions in the complex plane C which are square integrable with respect to a weight of the type e-Q(z), where Q(z) is a quadratic form such that tr Q > 0. Each such space is in a natural way associated with an (oriented) circle C in C. We consider the problem of interpolation between two Fock spaces. If C0 and C1 are the corresponding circles, one is led to consider the pencil of circles generated by C0 and C1....
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 fractional integrals on central Morrey spaces and generalized λ-CMO spaces
We introduce the generalized fractional integrals and prove the strong and weak boundedness of on the central Morrey spaces . In order to show the boundedness, the generalized λ-central mean oscillation spaces and the generalized weak λ-central mean oscillation spaces play an important role.
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.