Results 31 to 40 of about 281,509 (319)
Analysing discrete fractional operators with exponential kernel for positivity in lower boundedness
AIMS Mathematics, 2022 In this paper we study the positivity analysis problems for discrete fractional operators with exponential kernel, namely the discrete Caputo-Fabrizio operators.
Sarkhel Akbar Mahmood +4 more
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A lecture on the Liouville vertex operators
, 2003 We reconsider the construction of exponential fields in the quantized Liouville theory. It is based on a free-field construction of a continuous family or chiral vertex operators.
Barnes E. W. +10 more
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Gabor representations of evolution operators [PDF]
, 2015 We perform a time-frequency analysis of Fourier multipliers and, more generally, pseudodifferential operators with symbols of Gevrey, analytic and ultra-analytic regularity.
Cordero, Elena +2 more
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Approximation Operators, Exponential, q-Exponential, and Free Exponential Families
, 2005 Using the technique developed in approximation theory, we construct examples of exponential families of infinitely divisible laws which can be viewed as deformations of the normal, gamma, and Poisson exponential families. Replacing the differential equation of approximation theory by a q-differential equation, we define the q-exponential families, and ...
Bryc, Wlodzimierz, Ismail, Mourad
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On normal operator exponentials [PDF]
Proceedings of the American Mathematical Society, 2001 Let \(A\), \(B\) be two bounded normal operators on a complex Hilbert space. Suppose they exponentially commute, i.e. \(e^A e^B= e^B e^A\). The author gives several sufficient spectral conditions under which the operators commute themselves. The principal result is that if both operators satisfy the spectral condition \[ E(\sigma(T)\cap \sigma(T+ 2i\pi
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Applied Mathematical Sciences, 2013 We define a q-exponential operator R(bDq) which turn out to be suitable for dealing with the Cauchy polynomials Pn(x,y) and the ...
Husam L. Saad, Abbas A. Sukhi
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A probabilistic approach to some results by Nieto and Truax
, 2010 In this paper, we reconsider some results by Nieto and Truax about generating functions for arbitrary order coherent and squeezed states. These results were obtained using the exponential of the Laplacian operator; more elaborated operational identities ...
Bateman H. +6 more
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Quantum Exchange Algebra and Exact Operator Solution of $A_2$-Toda Field Theory [PDF]
, 1998 Locality is analyzed for Toda field theories by noting novel chiral description in the conventional nonchiral formalism. It is shown that the canonicity of the interacting to free field mapping described by the classical solution is automatically ...
Babelon +40 more
core +3 more sources
On uniform exponential splitting for noninvertible evolution operators in Banach Spaces
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 The paper considers the general concept of uniform exponential splitting as a generalization of uniform exponential dichotomy property for evolution operators in Banach spaces.
Mihiţ Claudia Luminiţa +2 more
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The weighted composition operators on the large weighted Bergman spaces
, 2018 In this paper, we characterize bounded, compact or Schatten class weighted composition operators acting on Bergman spaces with the exponential type weights. Moreover, we give the proof of the necessary part for the boundedness of composition operators on
Park, Inyoung
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