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18,101
New Approach to Compute Integral Transforms
"... Abstract: Integral transforms find special applicability within scientific and mathematical disciplines. A powerful and efficient homotopy methodology in evaluating integrals arises in integral transforms was presented. The method depends on solving a related first order linear differential equation ..."
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Abstract: Integral transforms find special applicability within scientific and mathematical disciplines. A powerful and efficient homotopy methodology in evaluating integrals arises in integral transforms was presented. The method depends on solving a related first order linear differential
Stacks of Twisted Modules and Integral Transforms
, 2000
"... Stacks were introduced by Grothendieck and Giraud and are, roughly speaking, sheaves of categories. Kashiwara developed the theory of twisted modules, which are objects of stacks locally equivalent to stacks of modules over sheaves of rings. In this paper we recall these notions, and we develop the ..."
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Cited by 20 (7 self)
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the formalism of operations for stacks of twisted modules. As an application, we state a twisted version of an adjunction formula which is of use in the theory of integral transforms for sheaves and Dmodules.
Integral transforms and Drinfeld centers in derived algebraic geometry
"... Compact objects are as necessary to this subject as air to breathe. R.W. Thomason to A. Neeman, [N3] Abstract. We study natural algebraic operations on categories arising in algebraic geometry and its homotopytheoretic generalization, derived algebraic geometry. We work with a broad class of derive ..."
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Cited by 88 (17 self)
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derived categories of sheaves with integral transforms (providing a generalization of a theorem of Toën [To1] for ordinary schemes over a ring). As a first application, for a stack Y with air, we calculate the Drinfeld center (or synonymously,
Supports of functions and integral transforms
 Proceedings of International Workshop on the Recent Advances in Applied Mathematics (RAAM’ 96), held in Kuwait
"... In this paper we apply a method of spectral theory of linear operators [10] to establish relations between the support of a function f on Rk with properties of its image Tf under a linear operator T: Rk → Rk. The classical approach uses analytic continuation of the image Tf into some complex domain ..."
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Cited by 3 (1 self)
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In this paper we apply a method of spectral theory of linear operators [10] to establish relations between the support of a function f on Rk with properties of its image Tf under a linear operator T: Rk → Rk. The classical approach uses analytic continuation of the image Tf into some complex domain (theorems of PaleyWiener type [4, 5, 6, 7]), and
NORMPRESERVING LL INTEGRAL TRANSFORMATIONS
, 1985
"... ABSTRACT. In this paper we consider an LL integral transformation G of the form ..."
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ABSTRACT. In this paper we consider an LL integral transformation G of the form
On Integral Transforms and Matrix Functions
"... The Sumudu transform of certain elementary matrix functions is obtained. These transforms are then used to solve the differential equation of a general linear conservative vibration system, a vibrating system with a special type of viscous damping. ..."
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The Sumudu transform of certain elementary matrix functions is obtained. These transforms are then used to solve the differential equation of a general linear conservative vibration system, a vibrating system with a special type of viscous damping.
oscillatory integral transforms
, 2011
"... The classical theory of Gaussian quadrature assumes a positive weight function. We will show that in some cases Gaussian rules can be constructed with respect to an oscillatory weight, yielding methods with complex quadrature nodes and positive weights. These rules are well suited for highly oscilla ..."
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oscillatory integrals because they attain optimal asymptotic order. We show that for the Fourier oscillator this approach yields the numerical method of steepest descent, a method with optimal asymptotic order that has previously been proposed for this class of integrals. However, the approach readily extends
INTEGRAL TRANSFORMATIONS INVOLVING GEGENBAUER FUNCTIONS
, 1991
"... Integral transformations involving Gegenbauer functions by C.A.M. van Berkel and S.J.L. van Eijndhoven Summary In this paper, transformations are studied which are compositions of fractional differentiation and fractional integration operators. These transformations as well as their inverses are de ..."
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Integral transformations involving Gegenbauer functions by C.A.M. van Berkel and S.J.L. van Eijndhoven Summary In this paper, transformations are studied which are compositions of fractional differentiation and fractional integration operators. These transformations as well as their inverses
Integral Transform Parameter Estimation
, 1996
"... There are many reasons for considering estimation in a transformed version of a problem. In this paper we look at a class of compartment models, and see that it is possible to estimate the underlying parameters more easily in a transformed problem. In particular, it is not necessary to know the for ..."
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There are many reasons for considering estimation in a transformed version of a problem. In this paper we look at a class of compartment models, and see that it is possible to estimate the underlying parameters more easily in a transformed problem. In particular, it is not necessary to know
Results 11  20
of
18,101