Weighted norm inequality for the Poisson integral on the sphere.
Weighted Plancherel formula. Irreducible unitary representations and eigenspace representations.
Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales
We propose a concept of weighted pseudo almost automorphic functions on almost periodic time scales and study some important properties of weighted pseudo almost automorphic functions on almost periodic time scales. As applications, we obtain the conditions for the existence of weighted pseudo almost automorphic mild solutions to a class of semilinear dynamic equations on almost periodic time scales.
Weighted pseudo almost automorphic sequences and their applications.
Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations.
Weil Multipliers.
Well-posedness of second order degenerate differential equations in vector-valued function spaces
Using known results on operator-valued Fourier multipliers on vector-valued function spaces, we give necessary or sufficient conditions for the well-posedness of the second order degenerate equations (P₂): d/dt (Mu’)(t) = Au(t) + f(t) (0 ≤ t ≤ 2π) with periodic boundary conditions u(0) = u(2π), (Mu’)(0) = (Mu’)(2π), in Lebesgue-Bochner spaces , periodic Besov spaces and periodic Triebel-Lizorkin spaces , where A and M are closed operators in a Banach space X satisfying D(A) ⊂ D(M). Our results...
Weyl calculus for complex and real symmetric domains
We define the Weyl functional calculus for real and complex symmetric domains, and compute the associated Weyl transform in the rank 1 case.
When is a Riesz distribution a complex measure?
Let be the Riesz distribution on a simple Euclidean Jordan algebra, parametrized by . I give an elementary proof of the necessary and sufficient condition for to be a locally finite complex measure (= complex Radon measure).
When is there a discontinuous homomorphism from L¹(G)?
Let A be an A*-algebra with enveloping C*-algebra C*(A). We show that, under certain conditions, a homomorphism from C*(A) into a Banach algebra is continuous if and only if its restriction to A is continuous. We apply this result to the question in the title.
Whittaker functions, prehomogeneous vector spaces and standard representations of p-adic groups.
Whittaker transforms on real-rank one Lie groups
Wiener Tauberian theorems for vector-valued functions.
Wiener-Ditkin Sets for Certain Beurling Algebras.
Wiener's inversion theorem for a certain class of *-algebras
We generalize Wiener's inversion theorem for Fourier transforms on closed subsets of the dual group of a locally compact abelian group to cosets of ideals in a class of non-commutative *-algebras having specified properties, which are all fulfilled in the case of the group algebra of any locally compact abelian group.
Wilson's functional equations on groups.
Zentrale Distributionen auf nilpotenten Liegruppen.
Zentrale idempotente Maße auf lokalkompakten Gruppen mit Abelschem Normalteiler von endlichem Index.
Zerlegung von Distributionen, die unter einer unipotenten Gruppenopération invariant sind.
Zero divisors and , II.