A note on Toeplitz operators on discrete groups

Toeplitz Operators on Locally Compact Abelian Groups

The problem of global optimization of M incoherent phase signals in N complex dimensions is formulated. Then, by using the geometric approach of Landau and Slepian, conditions for optimality are established for N 2, and the optimal signal sets are determined for M 2, 3, 4, 6 and 12. The method is the following: The signals are assumed to be equally probable and to have equal energy, and thus ar...

On Weighted Toeplitz Operators

A weighted Toeplitz operator on H(β) is defined as Tφf = P (φf) where P is the projection from L(β) onto H(β) and the symbol φ ∈ L(β) for a given sequence β = 〈βn〉n∈Z of positive numbers. In this paper, a matrix characterization of a weighted multiplication operator on L(β) is given and it is used to deduce the same for a weighted Toeplitz operator. The eigenvalues of some weighted Toeplitz ope...

A Note on Weighted Composition Operators on L^p-Spaces

A note on quasi irresolute topological groups

In this study, we investigate the further properties of quasi irresolute topological groups defined in [20]. We show that if a group homomorphism f between quasi irresolute topological groups is irresolute at $e_G$, then $f$ is irresolute on $G$. Later we prove that in a semi-connected quasi irresolute topological group $(G,*,tau )$, if $V$ is any symmetric semi-open neighborhood of $e_G$, then...

A NOTE ON CHARACTERISTIC EQUATION OF TOEPLITZ OPERATORS ON THE SPACES Ak

Note that μ0 is simply normalized Lebesque measure on B. The k-th Bergman space, Ak, is defined as the space of analytic functions on B which are square integrable with respect to the measure μk. Note that Ak = H (μk), where H (μk) be the L2(μk) -closure of the ball algebra A, and that Aj c Ak for j < k. The standard orthonormal base for Ak is given by eka = c(a, k, n)z a = c{a, ky n)r^e i0Clθl...