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Spectral Theory of Pseudo-Differential Operators

Advances in Applied Mathematics, 1994
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Lepton flavor violating $$\Lambda _b\rightarrow \Lambda \ell _1\ell _2$$ Λb→Λℓ1ℓ2 decay

European Physical Journal C: Particles and Fields, 2019
Inspired by the recent hints of lepton flavor universality violation in $$b\rightarrow s\ell \ell $$ b→sℓℓ and $$b\rightarrow c\ell \nu $$ b→cℓν transitions, we study lepton flavor violating exclusive $$\Lambda _b\rightarrow \Lambda \ell _1^+\ell _2 ...
Diganta Das
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Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil

Fractal and Fractional
In seismic modeling and reverse time migration (RTM), incorporating anisotropy is crucial for accurate wavefield modeling and high-quality images. Due to the trade-off between computational cost and simulation accuracy, the pure quasi-P-wave equation has
Shanyuan Qin, Jidong Yang, Ning Qin, Jianping Huang, Kun Tian   +4 more
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Fractional Bagley-Torvik Problem Analysis with Hilfer Fractional Derivatives and Pettis Function Space

Fractal and Fractional
This paper analyzes the Bagley–Torvik fractional-order equation with generalized fractional Hilfer derivatives of two orders for functions in Banach spaces under conditions expressed in the language of weak topology.
Mieczysław Cichoń, Masouda M. A. Al-Fadel, Hussein A. H. Salem, Kinga Cichoń   +3 more
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L^p-Boundedness of a Class of Bi-Parameter Pseudo-Differential Operators

Mathematics
In this paper, I explore a specific class of bi-parameter pseudo-differential operators characterized by symbols σ(x1,x2,ξ1,ξ2) falling within the product-type Hörmander class Sρ,δm.
Jinhua Cheng
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Weighted periodic and discrete pseudo-differential Operators

Monatshefte für Mathematik
In this paper, we study elements of symbolic calculus for pseudo-differential operators associated with the weighted symbol class $M_{ρ, Λ}^m(\mathbb{ T}\times \mathbb{Z})$ (associated to a suitable weight function $Λ$ on $\mathbb{Z}$) by deriving formulae for the asymptotic sums, composition, adjoint, transpose. We also construct the parametrix of $M$-
Aparajita Dasgupta, Lalit Mohan, Shyam Swarup Mondal   +2 more
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Conformally covariant pseudo-differential operators

Differential Geometry and its Applications, 2000
Conformal Geometry has found applications in the study of general relativity, in the study of the famous Yamabe problem, as well as in other areas. The study of conformally covariant operators was traditionally focused on differential operators.
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Weighted asymptotic behavior of solutions to semilinear integro-differential equations in Banach spaces

Electronic Journal of Differential Equations, 2014
In this article, we study weighted asymptotic behavior of solutions to the semilinear integro-differential equation $$ u'(t)=Au(t)+\alpha\int_{-\infty}^{t}e^{-\beta(t-s)}Au(s)ds+f(t,u(t)), \quad t\in \mathbb{R}, $$ where $\alpha, \beta \in \mathbb ...
Yan-Tao Bian, Yong-Kui Chang, Juan J. Nieto   +2 more
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Invariant Pseudo-Differential Operators.

MATHEMATICA SCANDINAVICA, 1971
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