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A game theoretic approach for pricing and advertising of an integrated product family in a duopoly
Product family concept predicates to a products’ group or services that derive from a common base and they have usually the same production process...
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Product Topology
For two given topological spaces, it is natural to define a topology on the Cartesian product of the two underlying spaces. Motivated by the...
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Zeno Product Formulæ
This chapter is devoted to study a link between Trotter, or Trotter-Kato product formulæ, and product formulæ including projections. Formally, the...
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On the Width of the Cartesian Product of Ordinals
The ordinal invariants, i.e., maximal order type, height, and width, are measures of a well quasi-ordering (wqo) based on the ordinal rank of the...
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Unitary Product Formulæ
In this chapter, we first recollect the main results about convergence of the unitary Trotter product formula in the strong operator topology, Sect....
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Product formulas and convolutions for Laplace–Beltrami operators on product spaces: beyond the trivial case
We introduce the notion of a family of convolution operators associated with a given elliptic partial differential operator. Such a convolution...
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Topological Product of Modal Logics with the McKinsey Axiom
AbstractWe consider products of modal logics in topological semantics and prove that the topological product of S4.1 and S4 is the fusion of logics...
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Free Rota-Baxter Family Algebras and Free (tri)dendriform Family Algebras
In this paper, we first construct the free Rota-Baxter family algebra generated by some set X in terms of typed angularly X -decorated planar rooted...
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Product Approximations of Self-Adjoint Semigroups
In this chapter, we proceed with a systematic analysis of the main for this book subject: the product formulæ approximations in the operator-norm...
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Orthogonal Additivity of a Product of Powers of Linear Operators
AbstractIn this note it is established that a finite family of positive linear operators acting from an Archimedean vector lattice into an...
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A Criterion for Topological Sum Existence in Class of Splitting Subspaces of Inner Product Spaces
AbstractWe study topological measures on classes of subspaces in inner product (pre-Hilbert) spaces. A criterion for existence of topological sum of...
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Tensor Product of Evolution Algebras
The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that,...
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Time-Dependent Product Formulæ: Hilbert Space
In this chapter we present the product-formula approximations of solution operator for non-autonomous Cauchy problem (nACP) in a Hilbert space. Under...
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Time-Dependent Product formulæ: Banach Space
The aim of this chapter is to summarise the results about development of the product formula approach to construction of solutions of the abstract...
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Extrapolation for Weighted Product Morrey Spaces and Some Applications
This paper builds the extrapolation theory on weighted product Morrey spaces. To prove the main result, we introduce the weighted product block...
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Turán Number of Nonbipartite Graphs and the Product Conjecture
The decomposition family of a family of graphs often helps us to determine the error term in the well-known Erdős–Stone–Simonovits theorem. We study...
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Regularity of Sets Under a Reformulation in a Product Space with Reduced Dimension
Different notions on regularity of sets and of collection of sets play an important role in the analysis of the convergence of projection algorithms...