Functional Banach spaces of holomorphic functions on Reinhardt domains
Functional integration for euclidean Dirac fields
Functions of finite fractional variation and their applications to fractional impulsive equations
We introduce a notion of a function of finite fractional variation and characterize such functions together with their weak -additive fractional derivatives. Next, we use these functions to study differential equations of fractional order, containing a -additive term—we prove existence and uniqueness of a solution as well as derive a Cauchy formula for the solution. We apply these results to impulsive equations, i.e. equations containing the Dirac measures.
Fundamental theorem of Wiener calculus.
Funktionalanalytische Fassung des Satzes von Radon-Nikodym. I.
Further results on integral representations
Gâteaux derivative and orthogonality in -classes.
Gâteaux differentiability for functionals of type Orlicz-Lorentz.
Gâteaux differentiable functions are somewhere Fréchet differentiable
Gateaux Differentials in Banach Algebras.
Gâteaux smooth partitions of unity on weakly compactly generated Banach spaces
Gauge integrals and series
This note contains a simple example which does clearly indicate the differences in the Henstock-Kurzweil, McShane and strong McShane integrals for Banach space valued functions.
Gaussian measures on spaces,
GC-functions
General construction of Banach-Grassmann algebras
We show that a free graded commutative Banach algebra over a (purely odd) Banach space is a Banach-Grassmann algebra in the sense of Jadczyk and Pilch if and only if is infinite-dimensional. Thus, a large amount of new examples of separable Banach-Grassmann algebras arise in addition to the only one example previously known due to A. Rogers.
Generalization of the formula of Faa di Bruno for a composite function with a vector argument.
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces
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 functionals of Brownian motion.
Generalized Nash-Moser smoothing operators and the structure of Fréchet spaces