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Articles 1 - 8 of 8
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Partial Difference Sets In P-Groups, James A. Davis
Partial Difference Sets In P-Groups, James A. Davis
Department of Math & Statistics Faculty Publications
Most of the examples of PDS have come in p-groups, and most of these examples are in elementary abelian p-groups. In this paper, we will show an exponent bound for PDS with the same parameters as the elementary abelian case.
A Construction Of Difference Sets In High Exponent 2-Groups Using Representation Theory, James A. Davis, Ken Smith
A Construction Of Difference Sets In High Exponent 2-Groups Using Representation Theory, James A. Davis, Ken Smith
Department of Math & Statistics Faculty Publications
Nontrivial difference sets in groups of order a power of 2 are part of the family of difference sets called Menon difference sets (or Hadamard), and they have parameters (22d+2, 22d+1 ±2d, 22d±2d). In the abelian case, the group has a difference set if and only if the exponent of the group is less than or equal to 2d+2. In [14], the authors construct a difference set in a nonabelian group of order 64 and exponent 32. This paper generalizes that result to …
Analytic Besov Spaces And Invariant Subspaces Of Bergman Spaces, William T. Ross
Analytic Besov Spaces And Invariant Subspaces Of Bergman Spaces, William T. Ross
Department of Math & Statistics Faculty Publications
In this paper, we examine the invariant subspaces (under the operator f -->z f) M of the Bergman space pa (G\T) (where 1 < p < 2, G is a bounded region in C containing D, T is the unit circle, and D is the unit disk) which contain the characteristic functions xD and xG, i.e. the constant functions on the components of G\T. We will show that such M are in one-to-one correspondence with the invariant subspaces of the analytic Besov space ABq (q is the conjugate index to p) and …
Invariant Subspaces Of Bergman Spaces On Slit Domains, William T. Ross
Invariant Subspaces Of Bergman Spaces On Slit Domains, William T. Ross
Department of Math & Statistics Faculty Publications
In this paper, we characterize the z-invariant subspaces that lie between the Bergman spaces Ap(G) and Ap(G\K), where 1 < p < ∞, G is a bounded region in C, and K is a closed subset of a simple, compact, C1 arc.
Determination Of A Potential From Cauchy Data: Uniqueness And Distinguishability, Lester Caudill
Determination Of A Potential From Cauchy Data: Uniqueness And Distinguishability, Lester Caudill
Department of Math & Statistics Faculty Publications
The problem of recovering a potential q(y) in the differential equation:
−∆u + q(y)u = 0 (x,y) &∈ (0, 1) × (0,1)
u(0, y) = u(1, y) = u(x, 0) = 0
u(x, 1) = f(x), uy(x, 1) = g(x)
is investigated. The method of separation of variables reduces the recovery of q(y) to a non-standard inverse Sturm-Liouville problem. Employing asymptotic techniques and integral operators of Gel'fand-Levitan type, it is shown that, under appropriate conditions on the Cauchy pair (f, g ), q(y) is uniquely determined, in a local sense, up to its mean. We characterize …
Hyperinvariant Subspaces Of The Harmonic Dirichlet Space, William T. Ross, Stefan Richter, Carl Sundberg
Hyperinvariant Subspaces Of The Harmonic Dirichlet Space, William T. Ross, Stefan Richter, Carl Sundberg
Department of Math & Statistics Faculty Publications
No abstract provided.
A Direct Method For The Inversion Of Physical Systems, Lester Caudill, Herschel Rabitz, Attila Askar
A Direct Method For The Inversion Of Physical Systems, Lester Caudill, Herschel Rabitz, Attila Askar
Department of Math & Statistics Faculty Publications
A general algorithm for the direct inversion of data to yield unknown functions entering physical systems is presented. Of particular interest are linear and non-linear dynamical systems. The potential broad applicability of this method is examined in the context of a number of coefficient-recovery problems for partial differential equations. Stability issues are addressed and a stabilization approach, based on inverse asymptotic tracking, is proposed. Numerical examples for a simple illustration are presented, demonstrating the effectiveness of the algorithm.
An Invariant Subspace Problem For P = 1 Bergman Spaces On Slit Domains, William T. Ross
An Invariant Subspace Problem For P = 1 Bergman Spaces On Slit Domains, William T. Ross
Department of Math & Statistics Faculty Publications
In this paper, we characterize the z-invariant subspaces that lie between the Bergman spaces A1(G) and A1(G/K), where G is a bounded region in the complex plane and K is a compact subset of a simple arc of class C1.