We consider a number of examples of multiplier algebras on Hilbert spaces associated to discs embedded into a complex ball in order to examine the isomorphism problem for multiplier algebras on complete Nevanlinna-Pick reproducing kernel Hilbert spaces. In particular, we exhibit uncountably many discs in the ball of ` which are multiplier biholomorphic but have non-isomorphic multiplier algebra...

This paper presents Field Programmable Gate Array (FPGA) implementation of standard and truncated multipliers using Very High Speed Integrated Circuit Hardware Description Language (VHDL). Truncated multiplier is a good candidate for digital signal processing (DSP) applications such as finite impulse response (FIR) and discrete cosine transform (DCT) etc. Significant reduction in FPGA resources...

Problem Statement: In this study, we had proposed a low power architecture for high speed multiplication. Approach: The modifications to the conventional shift and add multiplier includes introduction of modified error tolerant technique for addition and enabling of adder cell by current multiplication bit of the multiplier constant. The proposed architecture enables the removal of input multip...

Real-time analog multiplication of two signals is one of the most important operations in analog signal processing. The multiplier is used not only as a computational building block but also as a programming element in systems such as filters, neural networks, and as mixers and modulators in a communication system. Although high performance bipolar junction transistor multipliers have been avai...

Considering the Euclidean Jordan algebra of the real symmetric matrices endowed with the Jordan product and the inner product given by the usual trace of matrices, we construct an alternating Schur series with an element of the Jordan frame associated to the adjacency matrix of a strongly regular graph. From this series we establish necessary conditions for the existence of strongly regular gra...

In this paper, a new MBE (modified Booth encoding) recoder, and a new MBE decoder are proposed in CMOS transistor level to improve the performance of traditional multipliers. The proposed pipelined Booth multiplier can reduce the delay time of the critical path by levelizing the complex gate in the MBE decoder. As a result, MBE decoder is no more the speed bottleneck of a pipelined booth multip...

Digital signal processor, image signal processor and FIR filters have multipliers as an important part of their design. On the basis of Vedic mathematics, Vedic multipliers have come out to be very fast multipliers. One of the image processing applications is edge detection. This research presents a small area and high speed 8 bit Vedic multiplier system comprising of compressor based adders. T...

We introduce a new implementation of a three-input multiplier. This multiplier is capable of accepting three binary inputs, and producing the product, a*b*c. Although this implementation requires more space, it reduces the number of clock cycles required to multiply three numbers. In this paper, we present the front end 4-bit partial product array that can be incorporated into a typical multipl...

In this paper, we consider various extension problems associated with elements in the the closure with respect to either the multiplier norm or the completely bounded multiplier norm of the Fourier algebra of a locally compact group. In particular, we show that it is not always possible to extend an element in the closure with respect to the multiplier norm of the Fourier algebra of the free gr...

For a finite group scheme G, we continue our investigation of those finite dimensional kG-modules which are of constant Jordan type. We introduce a Quillen exact category structure C(kG) on these modules and investigate K0(C(kG)). We study which Jordan types can be realized as the Jordan types of (virtual) modules of constant Jordan type. We also briefly consider thickenings of C(kG) inside the...