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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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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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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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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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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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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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Lie Bialgebroid of Pseudo-differential Operators
We associate a Lie bialgebroid structure to the algebra of formal Pseudo-differential operators, as the classical limit of a quantum groupoid. As a...
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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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The Y transforms and allied pseudo-differential operators
In this paper, we introduce and study the two versions of Y-transform, which are adjoint to each other. Certain differential operators associated...
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A Note on Boundedness Properties of Pseudo-Differential Operators on Rank One Symmetric Spaces of Noncompact Type
In this short note, we discuss the boundedness properties of the multiplier and pseudo-differential operators. More specifically, we first discuss...
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Some further classes of pseudo-differential operators in the p-adic context and their applications
The purpose of this article is to study new non-Archimedean pseudo-differential operators whose symbols are determined from the behavior of two...
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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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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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Pseudo-Differential Operators Associated with Modified Fractional Derivatives Involving the Fractional Fourier Transform.
In this paper, properties of the n-dimensional fractional Fourier transform are discussed, and exploiting this theory, the continuity property on...