The Fourier transform of distributions and the exchange formula
The Fourier Transform of Herz Spaces on Certain Groups.
The Fourier transofrm technique for convolution equations in infinite dimensional lq-spaces.
The fractional integral between weighted Orlicz and spaces on spaces of homogeneous type
In this work we give sufficient and necessary conditions for the boundedness of the fractional integral operator acting between weighted Orlicz spaces and suitable spaces, in the general setting of spaces of homogeneous type. This result generalizes those contained in [P1] and [P2] about the boundedness of the same operator acting between weighted and Lipschitz integral spaces on . We also give some properties of the classes of pairs of weights appearing in connection with this boundedness.
The Fréchet derivative of an analytic function of a bounded operator with some applications.
The Fréchet envelopes of vector-valued Smirnov classes
The Fréchet space admits a strictly stronger separable and quasicomplete locally convex topology
The free cover of a row contraction.
The free quasiworld. Freely quasiconformal and related maps in Banach spaces
The Frölicher-Nijenhuis bracket in non-commutative differential geometry.
The Functional Equation
The functionals of the kind of Banach limits.
The functor σ²X
We disprove the existence of a universal object in several classes of spaces including the class of weakly Lindelöf Banach spaces.
The general complex case of the Bernstein-Nachbin approximation problem
We present a solution to the (strict) Bernstein-Nachbin approximation problem in the general complex case. As a corollary, we get proofs of the analytic, the quasi-analytic, and the bounded criteria for localizability in the general complex case. This generalizes the known results of the real or self-adjoint complex cases, in the same way that Bishop’s Theorem generalizes the Weierstrass-Stone Theorem. However, even in the real or self-adjoint complex cases, the results that we obtain are stronger...
The general form of local bilinear functions
The scalar product of the FEM basis functions with non-intersecting supports vanishes. This property is generalized and the concept of local bilinear functional in a Hilbert space is introduced. The general form of such functionals in the spaces and is given.
The general Fubini theorem in complete bornological locally convex spaces.
The General Stone-Weierstrass Problem and Extremal Completely Positive Maps.
The generalization of Cellina's Fixed Point Theorem
The generalized corona theorem.
The generalized Hardy operator with kernel and variable integral limits in Banach function spaces.