Lagrange multipliers are present in any gauge theory. They possess peculiar gauge transformation which is not generated by the constraints in the model as it is the case with the other variables. For rank one gauge theories we show how to alter the constraints so that they become generators of the local symmetry algebra in the space of Lagrange multipliers too. We also discuss the limitations o...

In this paper we consider translation invariant operators with additional symmetry coming from group actions. As the classic Hilbert and Riesz transforms can be characterized up to scalar by means of relative invariance of conformal transformation groups, certain multiplier operators are characterized by relative invariance of some other affine subgroups. In this article, we formalize a geometr...

The results obtained by the authors in present paper refer to quantum calculus applications regarding theories of differential subordination and superordination. These are established means an operator defined as q-analogue multiplier transformation. Interesting superordination derived involving functions belonging a new class normalized analytic open unit disc U, which is investigated here usi...

The sustained growth in VLSI technology is fuelled by the continued shrinking of transistor to ever smaller dimension. The benefits of miniaturization are high packing densities, high circuit speed and low power dissipation. Binary multiplier is an electronic circuit used in digital electronics such as a computer to multiply two binary numbers, which is built using a binary adder. A fixed-width...

C is called a completely bounded multiplier (= Herz-Schur multiplier) if the transformation defined on the linear span K(G) of {λ(x), x ∈ G} by x∈G f (x)λ(x) → x∈G f (x)ϕ(x)λ(x) is completely bounded (in short c.b.) on the C *-algebra C * λ (G) which is generated by λ (C * λ (G) is the closure of K(G) in B(ℓ 2 (G), ℓ 2 (G)).) One of our main results (stated below as Theorem 0.1) gives a simple ...

The sustained growth in VLSI technology is fuelled by the continued shrinking of transistor to ever smaller dimension. The benefits of miniaturization are high packing densities, high circuit speed and low power dissipation. Binary multiplier is an electronic circuit used in digital electronics such as a computer to multiply two binary numbers, which is built using a binary adder. A fixed-width...