Results 1 to 10 of about 71,460,248 (256)

Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals.

Michigan Mathematical Journal, 1996
Fourier transforms with respect to the analytic Feynman integral and the related topics: convolution product and its Fourier transform, the inversion formula, Parseval's identity, are discussed for functionals involving multiple time integrals, e.g., of the form \[ F(x)=\exp [\int^T_0 \int^T_0f(s,t,x(s), x(t))ds dt]. \] Two situations are considered: a
Huffman, Timothy, Park, Chull, Skoug, David   +2 more
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Distance-Domain Degrees of Freedom in Near-Field Region

IEEE Access
Extremely large aperture array operating in the near-field regime unlock additional spatial resources, which can be exploited to simultaneously serve multiple users even when they share the same angular direction.
Son T. Duong, Tho Le-Ngoc
doaj   +1 more source

Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels

Opuscula Mathematica, 2012
This paper introduces a general concept of convolutions by means of the theory of reproducing kernels which turns out to be useful for several concrete examples and applications. Consequent properties are exposed (including, in particular, associated norm inequalities).
Luis P. Castro, Saburou Saitoh, Nguyen Minh Tuan   +2 more
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Advancing Vietnamese Visual Question Answering with Transformer and Convolutional Integration

Computers and Electrical Engineering
Accepted at the journal of Computers & Electrical Engineering (Received 8 March 2024, Revised 8 June 2024, Accepted 10 July 2024)
Ngoc Son Nguyen, Van Son Nguyen, Tung Le 0004   +2 more
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A convolution integral for Fourier transforms on the groupSL(2,C) [PDF]

Communications in Mathematical Physics, 1968
The Fourier transform of a product of two functions onSL(2,C) is expressed as a convolution integral of the Fourier transforms of its factors. With the help of this convolution integral we present the Fourier transform of a polynomially bounded function as a finite linear combination of analytic delta functionals applied to a continuous function on the
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GENERAL CONVOLUTIONS OF INTEGRAL TRANSFORMS AND THEIR APPLICATION TO ODE AND PDE PROBLEMS

Mathematical Modelling and Analysis, 2006
The present research is devoted to some polyconvolutions generated by various integral transforms. For example, we study convolutions of the Hankel transform with the following factorization properties: where Hv[f] (x) is the Hankel transform. Conditions for the existence of the constructed polyconvolutions are found.
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Integral transforms of the Kontorovich-Lebedev convolution type

Collectanea Mathematica, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Integral Transforms and Convolution Equations on the Spaces of Tempered Ultradistributions

, 1992
U ovoj tezi su proučavani prostori temperiranih ultradistribucija Beurlingovog  i Roumieovog tipa, koji su prirodna uopštenja prostora Schwarzovih temperiranih distribucija u Denjoy-Carleman-Komatsuovoj teoriji ultradistribucija. Dokazano je ovi prostori imaju sva dobra svojstva, koja ima i Schwarzov prostor, izmedju ostalog, značajno svojstvo da ...
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Programmable calculus operations in electromagnetic space using space-time-coding metasurface. [PDF]

Natl Sci Rev
Shi HT, Zhang L, Wu RY, Zheng YN, Chen XQ, Li Y, He S, Wu JW, Cheng Q, Cui TJ.   +9 more
europepmc   +1 more source

Evaluation of Shack-Hartmann wavefront sensing artifacts due to reflectivity variations across thick layered samples using the discrete Fourier transform. [PDF]

Biomed Opt Express
Sahoo PK, Raj M R A, Akondi V.
europepmc   +1 more source