This paper discusses the use of absolutely one-homogeneous regularization functionals in a variational, scale space, and inverse scale space setting to define a nonlinear spectral decomposition of input data. We present several theoretical results that explain the relation between the different definitions. Additionally, results on the orthogonality of the decomposition, a Parsevaltype identity...

TheWigner phase-space distribution function provides the basis for Moyal’s deformation quantization alternative to the more conventional Hilbert space and path integral quantizations. General features of time-independent Wigner functions are explored here, including the functional (“star”) eigenvalue equations they satisfy; their projective orthogonality spectral properties; their Darboux (“sup...

We adapt the cycle space of a finite or locally graph to graphs with vertices of infinite degree, using as cycles the homeomorphic images of the unit circle S in the graph together with its ends. We characterize the spanning trees whose fundamental cycles generate this cycle space, and prove infinite analogues to the standard characterizations of finite cycle spaces in terms of edge-decompositi...

Recently, it has been proven that employing more than one transmit antenna increases channel throughput, and different strategies have been developed in order to achieve transmit diversity advantage. Space-time codes combine coding gain with diversity gain and preserve orthogonality between antennas, whereas BLAST (Bell Labs Layered Space-Time Architecture) technology transmits different indepe...

We examine the recently found point of intersection between the Z2 and Z4 orbifold subvarieties in the K3 moduli space more closely. First we give an explicit identification of the coordinates of the respective Z2 and Z4 orbifold theories at this point. Secondly we construct the explicit identification of conformal field theories at this point and show the orthogonality of the two subvarieties.

We show some sufficient conditions on a Banach space X concerning the generalized James constant, the generalized Jordan-von Neumann constant, the generalized Zbagănu constant, the coefficient ε̃0 X , the weakly convergent sequence coefficientWCS X , and the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings. These fixed point theor...

We are interested in the relationships between three different concepts, first and foremost is that of the phase space, by which we generally mean the Euclidean space formed from the cross product of the spatial variable with the dual frequency variable. Next, we want to associate subsets of that space with functions, the subset describing the location of the function in natural ways. And final...

An orthogonality space is a set equipped with symmetric and irreflexive binary relation. We consider spaces the additional property that any collection of mutually orthogonal elements gives rise to structure Boolean algebra. Together maps preserve substructures, we are led category NOS normal spaces. Moreover, an finite rank called linear if for two distinct e f there third one g such exactly p...