Results 11 to 20 of about 4,805 (214)
Complexity theory for operators in analysis [PDF]
We propose an extension of the framework for discussing the computational complexity of problems involving uncountably many objects, such as real numbers, sets and functions, that can be represented only through approximation. The key idea is to use a certain class of string functions as names representing these objects.
Akitoshi Kawamura, Stephen A. Cook
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Resonance Theory for Schrödinger Operators [PDF]
Resonances which result from perturbation of embedded eigenvalues are studied by time dependent methods. A general theory is developed, with new and weaker conditions, allowing for perturbations of threshold eigenvalues and relaxed Fermi Golden rule. The exponential decay rate of resonances is addressed; its uniqueness in the time dependent picture is ...
Costin, O., Soffer, A.
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This paper gives a construction for Segal operations in the \(K\)-theory of categories with cofibrations, weak equivalences and a biexact pairing. The construction extends work of Grayson on exact categories. In particular the construction produces operations in the algebraic \(K\)-theory of spaces (\(A\)-theory); these are shown to be the operations ...
Gunnarsson, Thomas, Schwänzl, Roland
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We study the operational bivariant theory associated to the covariant theory of Grothendieck groups of coherent sheaves, and prove that it has many geometric properties analogous to those of operational Chow theory. This operational K -theory agrees
Anderson, Dave, Payne, Sam
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A FIELD THEORY FOR THE READ OPERATOR [PDF]
We introduce a new field theory for studying quantum Hall systems. The quantum field is a modified version of the bosonic operator introduced by Read. In contrast to Read's original work we do not work in the lowest Landau level alone, and this leads to a much simpler formalism.
Rajaraman, R., Sondhi, S. L.
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Approximation on a class of Phillips operators generated by q-analogue
The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate
Abdullah Alotaibi
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A Theory of Closure Operators [PDF]
We explore how fixed-point operators can be designed to interact and be composed to form autonomic control mechanisms. We depart from the idea that an operator is idempotent only for the states that it assures, and define a more general concept in which acceptable states are a superset of assurable states.
Alva L. Couch, Marc Chiarini
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A Dunkl type generalization of Szász operators via post-quantum calculus
The object of this paper to construct Dunkl type Szász operators via post-quantum calculus. We obtain some approximation results for these new operators and compute convergence of the operators by using the modulus of continuity.
Abdullah Alotaibi +2 more
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In this article, our main purpose is to define the p,q-variant of Szász-Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function.
Abdullah Alotaibi
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On the Development of Nonlinear Operator Theory [PDF]
Приведены основные результаты для нелинейных операторов. Эти результаты включают нелинейные версии классических теорем: теоремы о равномерной ограниченности и теоремы Хана-Банаха. Кроме того, показано, что отображения метризуемого пространства в нормированное пространство могут лежать в некоторых нормированных пространствах при подходящем определении ...
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