It is well known that for irreducible, square-integrable representations of a locally compact group, there exist so-called admissible vectors which allow the construction of generalized continuous wavelet transforms. In this paper we discuss when the irreducibility requirement can be dropped, using a connection between generalized wavelet transforms and Plancherel theory. For unimodular groups ...

conjugation, c, 5anti-cyclotomic p-adic L-function, L (π), 6Atkin–Serre operator, Θord, 13 canonical pairing, ( ,)A, 23convergent modular form, M(m,K), 14admissible, 15of finite tame level, M[ (m,K), 14stable, M[ (m,K)♥, 14universal, 15 distribution algebraA-related, D(A,K), 25ω-related, D(ω,K), 25π-related, D(π), 4 global Lubin–Tate different...

Abstract In this paper a dexterity measure is proposed for driftless nonholonomic systems. Admissible motions at a given state of a nonholonomic system are described by the controllability (Lie) algebra of the system. The algebra is completely described by Lie monomials (vector fields) produced by the Lie bracketing of vector fields associated with the system. At a given state, the nonholonomic...

It’s known that incorporating prior knowledge into support vector regression (SVR) can help to improve the approximation performance. Most of researches are concerned with the incorporation of knowledge in form of numerical relationships. Little work, however, has been done to incorporate the prior knowledge on the structural relationships among the variables (referred as to Structural Prior Kn...

It’s known that incorporating prior knowledge into support vector regression (SVR) can help to improve the approximation performance. Most of researches are concerned with the incorporation of knowledge in the form of numerical relationships. Little work, however, has been done to incorporate the prior knowledge on the structural relationships among the variables (referred as to Structural Prio...

In mathematical epidemiology, epidemic control often aims at driving the number of infected humans to zero, asymptotically. However, during the transitory phase, the number of infected individuals can peak at high values. Can we limit the number of infected humans at the peak? This is the question we address. More precisely, we consider a controlled version of the Ross-Macdonald epidemiological...

In this note, we define the concepts of admissible relation and admissible partition for an arbitrary BL-general fuzzy automaton.In particular, a connection between the admissible partition and the quotient BL-general fuzzy automaton is presented.It is shown that if we use the maximal admissible partition, then we obtain a quotient BL-general fuzzy automaton and this quotient is minimal. Finall...

The complex admissibility conditions for reformulated function in Karayiannis model is obtained based on the three axioms of radial basis function neural network. In this paper, we present an easier understandable assumption about vector quantization and radial basis function neural network. Under this assumption, we have obtained a simple but equivalent criterion for admissible reformulation f...

In this paper, we present a formalization of an algorithm to construct admissible discrete vector fields in the Coq theorem prover taking advantage of the SSReflect library. Discrete vector fields are a tool which has been welcomed in the homological analysis of digital images since it provides a procedure to reduce the amount of information but preserving the homological properties. In particu...