Results 11 to 20 of about 19,956 (200)
Symbolic Calculus and Fredholm Property for Localization Operators [PDF]
Journal of Fourier Analysis and Applications, 2006 We study the composition of time-ffrequency localization operators (wavepacket operators) and develop a symbolic calculus of such operators on modulation spaces. The use of time-frequency methods (phase space methods) allows the use of rough symbols of ultra-rapid growth in place of smooth symbols in the standard classes.
CORDERO, Elena, K. Gröchenig
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Mathematics, 2023 In this paper, we introduce the b-triangular property in fuzzy b-metric space. Furthermore, we give some new fixed point results in fuzzy b-metric space for non-continuous mappings.
Gunaseelan Mani +4 more
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Fredholm-Lagrangian-Grassmannian and the Maslov index [PDF]
, 2003 We explain the topology of the space, so called, Fredholm-Lagrangian-Grassmannain and the quantity ``Maslov index'' for paths in this space based on the standard theory of Functional Analysis.
Arnold +29 more
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Elliptic operators and their symbols
Demonstratio Mathematica, 2019 We consider special elliptic operators in functional spaces on manifolds with a boundary which has some singular points. Such an operator can be represented by a sum of operators, and for a Fredholm property of an initial operator one needs a Fredholm ...
Vasilyev Vladimir
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Unique Fixed-Point Results in Fuzzy Metric Spaces with an Application to Fredholm Integral Equations
Journal of Function Spaces, 2021 This paper aims at proving some unique fixed-point results for different contractive-type self-mappings in fuzzy metric spaces by using the “triangular property of the fuzzy metric”.
Iqra Shamas +4 more
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Fredholm properties of evolution semigroups
Illinois Journal of Mathematics, 2004 The authors consider questions related to the linear differential equation \[ u'(t)= A(t)u(t) \] on a Banach space \(X\) in which the operators \(A(t)\) might be unbounded. Let \(\{U(t,\tau)\}_{t\geq\tau}\), \(t,\tau\in\mathbb{R}\), denote a strongly continuous exponentially bounded evolution family on \(X\).
Latushkin, Yuri, Tomilov, Yuri
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Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method
مجلة بغداد للعلوم, 2020 Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is ...
Nahdh S. M. Al-Saif, Ameen Sh. Ameen
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On Semi-Fredholm Band-Dominated Operators [PDF]
, 2014 In this paper we study the semi-Fredholm property of band-dominated operators $A$ and prove that it already implies the Fredholmness of $A$ in all cases where this is not disqualified by obvious reasons. Moreover, this observation is applied to show that
Seidel, Markus
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Generalized Fredholm Properties for Invariant Pseudodifferential Operators [PDF]
Acta Applicandae Mathematicae, 2012 We define classes of pseudodifferential operators on $G$-bundles with compact base and give a generalized $L^2$ Fredholm theory for invariant operators in these classes in terms of von Neumann's $G$-dimension. We combine this formalism with a generalized Paley-Wiener theorem, valid for bundles with unimodular structure groups, to provide solvability ...
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Algebraic independence properties of the Fredholm series [PDF]
Journal of the Australian Mathematical Society, 1978 AbstractWe consider algebraic independence properties of series such as We show that the functions fr(z) are algebraically independent over the rational functions Further, if αrs (r = 2, 3, 4, hellip; s = 1, 2, 3, hellip) are algebraic numbers with 0 < |αrs|, we obtain an explicit necessary and sufficient condition for the algebraic independence of
Loxton, J. H., van der Poorten, A. J.
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