Twists of the Iwasawa-Tate Zeta Function.
The Adelic Zeta Function Associated to the Space of Binary Cubis Forms. Part I: Global Theory.
The radius of p-valent starlikeness for certain classes of analytic functions
On a class of starlike functions
The adelic zeta function associated to the space of binary cubic forms. II: Local theory.
Density of discriminants of cubic extensions.
Prehomogeneous vector spaces and field extensions.
Bewertungen mit reeller Henselisierung.
Triple Hilbert transforms along polynomial surfaces in .
Pairings, duality, amenability and bounded cohomology
We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.
An Extension of 3D Zernike Moments for Shape Description and Retrieval of Maps Defined in Rectangular Solids
Zernike polynomials have been widely used in the description and shape retrieval of 3D objects. These orthonormal polynomials allow for efficient description and reconstruction of objects that can be scaled to fit within the unit ball. However, maps defined within box-shaped regions ¶ for example, rectangular prisms or cubes ¶ are not well suited to representation by Zernike polynomials, because these functions are not orthogonal over such regions. In particular, the representations require many...
The measure extension problem for vector lattices
Let be a boundedly -complete vector lattice. If each -valued premeasure on an arbitrary field of subsets of an arbitrary set can be extended to a -additive measure on the generated -field then is said to have the . Various sufficient conditions on which ensure that it has this property are known. But a complete characterisation of the property, that is, necessary and sufficient conditions, is obtained here. One of the most useful characterisations is: . This leads to an...
Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces
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