Results 51 to 60 of about 612 (181)
Mellin Transforms on Binary Fields
Some boundedness and inversion results are proved for a large class of operators on binary fields, i.e., on 2-series and 2-adic fields. As a special case, it is obtained, that the Mellin transform on any binary field can be extended to a bounded linear isometry on \(L_2\).
Schipp, F., Wade, W.R.
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Factors Influencing Species Distribution Model Performance in Tropical Reef Fishes
ABSTRACT Aim Reliable biodiversity assessments using species distribution models (SDMs) are essential for effective conservation and management. Understanding factors influencing SDM performance is crucial for improving model reliability, yet such links remain underexplored in marine systems.
Ying Liu +9 more
wiley +1 more source
This paper presents a robust reversible watermarking algorithm based on Chebyshev moments, employing a two‐stage embedding mechanism. The proposed method leverages image block partitioning to embed the copyright watermark and the reversible watermark into non‐overlapping regions located inside and outside the inscribed circle of the image, respectively.
Wenjing Sun, Ling Zhang, Hongjun Zhang
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On the modular integrals and their mellin transforms
It is shown that if f is an entire modular integral on T(l) of weight k, with multiplier system u, then f m (tr ) is an entire modular integral on T(l) of weight mk, with multiplier system u. A more general formula is obtained for the Mellin transforms.
Kirmaci, U. S., Özdemir, M. E.
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On a rigidity property for quadratic gauss sums
Abstract Let N$N$ be a large prime and let c>1/4$c > 1/4$. We prove that if f$f$ is a ±1$\pm 1$‐valued multiplicative function, such that the exponential sums Sf(a):=∑1⩽n
Alexander P. Mangerel
wiley +1 more source
On the Commutativity of a Certain Class of Toeplitz Operators
One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with
Louhichi Issam +2 more
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Second Microlocalization and the Mellin Transformation
The authors define the second wave front set WF in a way analogous to the definition of the first wave front set, using the Mellin transformation, instead of the Fourier transform. In particular they give another proof of Bony's theorem on propagation of 2-microlocal singularities: Theorem (Bony) - Let \({\overset \circ \xi}=(0,{\overset \circ \xi}')\)
Ziemian, Bogdan, Kołakowski, Henryk
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In this study, we introduce the two‐parameter Pochhammer matrix function. Notably, we establish the (p, k) Pochhammer matrix symbol as a key new construct for our generalizations. Furthermore, we construct gamma and beta matrix functions of two parameters and prove properties similar to their classical counterparts.
Mohamed S. Al–Sheikh +4 more
wiley +1 more source
Asymptotics of integrodifferential models with integrable kernels II
Nonlinear singularly perturbed Volterra integrodifferential equations with weakly singular kernels are investigated using singular perturbation methods, the Mellin transform technique, and the theory of fractional integration.
Angelina M. Bijura
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FRACTIONAL CALCULUS AND LAMBERT FUNCTION I. LIOUVILLE–WEYL FRACTIONAL INTEGRAL
The interconnection between the Liouville–Weyl fractional integral and the Lambert function is studied. The class of modified Abel equations of the first kind is solved.
Vladimír Vojta
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