The idea of difference sequence spaces were introduced by Kizmaz [6] and generalized by Et. and Colak [4]. Later Tripathy, Esi and Tripathy [15] introduced the notion of the new difference operator ∆m for n,m ∈ N . In this paper we introduced some new type of generalized difference sequence spaces defined by a modulus function and the new type of statistically convergent generalized difference ...

In the present paper we introduce some strongly convergent difference sequence spaces defined by a sequence of modulus functions F = (fk). We also study some topological properties and inclusion relations between these spaces. AMS Mathematics Subject Classification (2010): 40A05, 40C05, 46A45.

We derive a new set of WDVV equations for N = 2 SYM in which the renormalization scale Λ is identified with the distinguished modulus which naturally arises in topological field theories.

We present S-A-N-Sand elastic plateau modulus data obtained from semi-dilute wormlike micellar solutions, with small amounts of salt added. The spectra of these solutions are reminiscent of polyelectrolyte send-dilute solutions. The plateau modulus, which is related to the correlation length of the fluctuations in strain, is increased by the addition ofsalt. The primary result is that the elect...

This paper exploits a special class of space-time codes in which linearly transformed versions of a given data sequence are transmitted from multiple antennas. Several recently proposed codes, including space-time block codes, are members of this class. The redundancy introduced by the transformations imposes structure on the received data that under certain conditions can be exploited for dire...

i.e., if every fER attains its maximum modulus on C. As a matter of convenience, we shall, in this paper, abbreviate "maximum modulus algebra on K" to "ilf-algebra." Examples of Af-algebras which come to mind immediately are (a) the algebra ft consisting of all functions which are continuous on K and analytic in U, (b) any subalgebra of ft, (c) any algebra (B which is equivalent to an algebra o...

The main purpose of this paper is to use the idea of n-norm and a modulus function to construct some multiplier sequence spaces with base space X, a real linear n-norm space. We study the spaces for linearity, existence of paranorm, completeness and some inclusion properties involving these spaces. Mathematics Subject Classification: 40A05, 46A45, 46E30

Let X be a symmetric right process, and let Z = {Zt, t ≥ 0} be a multiplicative functional of X that is the product of a Girsanov transform, a Girsanov transform under time-reversal and a continuous Feynman-Kac transform. In this paper we derive necessary and sufficient conditions for the strong L-continuity of the semigroup {Tt, t ≥ 0} given by Ttf(x) = Ex [Ztf(Xt)], expressed in terms of the ...

Let {L x t ; (x, t) ∈ R 1 × R 1 + } denote the local time of Brownian motion, and α t := ∞ −∞ (L x t) 2 dx. Let η = N(0, 1) be independent of α t. For each fixed t, ∞ −∞ (L x+h t − L x t) 2 dx − 4ht h 3/2 L → 64 3 1/2 √ α t η as h → 0. Equivalently, ∞ −∞ (L x+1 t − L x t) 2 dx − 4t t 3/4 L → 64 3 1/2 √ α 1 η as t → ∞. 1. Introduction. In [10] almost sure limits are obtained for the L p moduli o...