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Fredholmness of pseudo-differential operators with nonregular symbols
We establish the Fredholmness of a pseudo-differential operator whose symbol is of class C 0, σ , 0 < σ < 1, in the spatial variable. Our work here...
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Pseudo-differential operator associated with quadratic-phase Fourier transform
The main goal of this paper is to study the pseudo-differential operator involving quadratic-phase Fourier transform (QPFT) and its integral...
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Pseudo-Differential Operators of Homogeneous Symbol Class Associated with the Weinstein Transform
In this paper, pseudo-differential operators with homogeneous symbol classes associated with the Weinstein transform are introduced. The boundedness...
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A new approach to neural networks using pseudo-differential operators
In this paper, we initially concentrate on the concept of complex convolutional neural networks, constructing the essential frameworks required for...
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Discrete Pseudo-differential Operators and Applications to Numerical Schemes
We consider a class of discrete operators introduced by O. Chodosh, acting on infinite sequences and mimicking standard properties of...
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Representations of solutions of systems of time-fractional pseudo-differential equations
Systems of fractional order differential and pseudo-differential equations are used in modeling of various dynamical processes. In the analysis of...
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Pseudo-Differential Operators on Matrix Weighted Besov–Triebel–Lizorkin Spaces
We characterize the matrix-weighted Triebel–Lizorkin spaces and Besov spaces by Peetre maximal function and approximation. Using these...
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Positivity results for Weyl’s pseudo-differential calculus on the Wiener space
This paper deals with positivity properties for a pseudo-differential calculus, generalizing Weyl’s classical quantization, and set on an infinite...
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Composition and commutator of pseudo-differential operators in the framework of zero-order Mehler–Fock transform domain
In this paper, we discuss the boundedness and continuity of the pseudo-differential operator associated with the zero-order Mehler–Fock transform in...
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\(L^{2}\) Theory of Pseudo-differential Operators
In recent years there has been a trend in the theory of partial differential equations towards constructive methods. The development of the theory of...
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Pseudo-differential operators on Orlicz modulation spaces
We deduce continuity properties for pseudo-differential operators with symbols in quasi-Banach Orlicz modulation spaces when rely on other...
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Pseudo Almost Periodic Solution for Some Differential Equations with Piecewise Constant Argument and Applications
The purpose of this work is to prove several important results concerning existence and uniqueness of doubly measures pseudo almost periodic...
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Product of Pseudo-Differential Operators Associated with Zero Order Mehler-Fock Transform
In this paper, the dual convolution structure for the Mehler-Fock transform is defined and obtained its estimates on Lebesgue space. Next, the two...
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Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations
This paper first investigates the equivalence of the space and translation invariance of Stepanov-like doubly weighted pseudo almost automorphic...