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Holographic Lens Resolution Using the Convolution Theorem. [PDF]
The similarity between object and image of negative asymmetrical holographic lenses (HLs) stored in a low-toxicity photopolymer has been evaluated theoretically and experimentally. Asymmetrical experimental setups with negative focal lengths have been used to obtain HLs.
Lloret T +5 more
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The Convolution Theorem Involving Windowed Free Metaplectic Transform [PDF]
The convolution product is widely used in many fields, such as signal processing, numerical analysis and so on; however, the convolution theorem in the domain of the windowed metaplectic transformation (WFMT) has not been studied.
Manjun Cui, Zhichao Zhang
doaj +2 more sources
Shaping Electromagnetic Waves with Flexible and Continuous Control of the Beam Directions Using Holography and Convolution Theorem [PDF]
In this article, several versatile electromagnetic (EM) waves are presented with predefined shapes and directions based on the holography and convolution theorem. Inspiring the holography theory, a reflective interferogram is characterized by interfering
Majid Karimipour +2 more
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Two generalizations of Titchmarsh’s convolution theorem [PDF]
Titchmarsh’s convolution theorem states that if the functions f , g f,g vanish on ( − ∞ , 0 ) ( - \infty ,0) and if the convolution f ∗ g ( t ) = 0 f * g(t) = 0 on an interval
Raouf Doss
openalex +2 more sources
Application of Convolution Theorem [PDF]
Dinesh Verma
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Notes on a theorem on convolutions [PDF]
J. N. Whiteley
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New subclass of meromorphic harmonic functions defined by symmetric q-calculus and domain of Janowski functions [PDF]
In this article, by applying the convolution principle and symmetric q-calculus, we develop a new generalized symmetric q-difference operator of convolution type, which is applicable in the domain E⁎={τ:τ∈C and ...
Ahmad A. Abubakar +4 more
doaj +2 more sources
Convolution Product for Hilbert $C^*$-Module Valued Maps [PDF]
In this paper, we introduce a convolution-type product for strongly integrable Hilbert $C^*$-module valued maps on locally compact groups. We investigate various properties of this product related to uniform continuity, boundless, etc.
Mawoussi Todjro, Yaogan Mensah
doaj +1 more source
Rank one HCIZ at high temperature: interpolating between classical and free convolutions
We study the rank one Harish-Chandra-Itzykson-Zuber integral in the limit where $\frac{N \beta}{2} \to c $, called the high temperature regime and show that it can be used to construct a promising one-parameter interpolation, with parameter $c ...
Pierre Mergny, Marc Potters
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