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On Heisenberg and Local Uncertainty Principles for the $q$-Dunkl Transform
$q$-Dunkl transform Heisenberg-Weyl inequality Local uncertainty principles
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2010/1/22
In this paper, we provide, for the q-Dunkl transform studied in [2], a Heisenberg uncertainty principle and two local uncertainty principles leading to a new Heisenberg-Weyl type inequality.
Technical note: First spectral measurement of the Earth's upwelling emission using an uncooled wideband Fourier transform spectrometer
Earth's upwelling emission wideband Fourier transform spectrometer
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2009/1/16
The first spectral measurement of Earth's emitted radiation to space in the wideband range from 100 to 1400 cm−1 with 0.5 cm−1 spectral resolution is presented. The measurement was perform...
An application of the double Sumudu transform
Laplace transform Sumudu transform population dynamics
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2010/9/14
The double Sumudu transform of functions expressible as polynomials or convergent infinite series are derived. The relationship of the former to the double Laplace transform is obtained, and it turns ...
Quantum computation of multifractal exponents through the quantum wavelet transform
Quantum computation multifractal exponents quantum wavelet transform
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2010/4/7
We study the use of the quantum wavelet transform to extract efficiently information about the multifractal exponents for multifractal quantum states. We show that, combined with quantum simulation al...
Annual variation of strato-mesospheric carbon monoxide measured by ground-based Fourier transform infrared spectrometry
strato-mesospheric carbon monoxide Fourier transform infrared spectrometry
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2008/12/3
We present long-term time-series of strato-mesospheric CO vertical columns measured from stations located in Antarctica, mid-latitudes and the Arctic, covering the period from 1997–2005. The instrumen...
Simultaneous ground-based observations of O3, HCl, N2O, and CH4 over Toronto, Canada by three Fourier transform spectrometers with different resolutions
Simultaneous ground-based observations O3 HCl N2O CH4 three Fourier transform spectrometers
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2008/12/3
An intercomparison of three Fourier transform spectrometers (FTSs) with significantly different resolutions is presented. The highest-resolution instrument has a maximum optical path difference of 250...
BEST APPROXIMATION FOR WEIERSTRASS TRANSFORM CONNECTED WITH RIEMANN-LIOUVILLE OPERATOR
Weierstrass transform best approximation Riemann-Liouville operator reproducing kernel extremal function
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2008/11/26
Using reproducing kernels for Hilbert spaces, we give best approximation for Weierstrass
transform associated with Riemann-Liouville operator. Also, estimates of extremal
functions are checked.
DUNKL TRANSFORM ON BESOV SPACES AND HERZ SPACES
Dunkl operators Dunkl transform Dunkl translation operators Dunkl convolution Besov spaces Herz spaces
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2008/11/25
In this paper, we establish on Rd that the Dunkl transform maps the Besov spaces
into a class of Herz spaces.
FURTHER RESULTS OF INTEGRABILITY FOR THE DUNKL TRANSFORM
Dunkl operators Dunkl kernel Dunkl transform Dunkl translation operators
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2008/11/25
In this paper, we establish further results concerning integrability of the Dunkl transform
of function f on R and in radial case on Rd, when f satisfies a suitable condition.
Technical Note: Molecular characterization of aerosol-derived water soluble organic carbon using ultrahigh resolution electrospray ionization Fourier transform ion cyclotron resonance mass spectrometry
aerosol-derived water soluble organic carbon ultrahigh resolution electrospray ionization ion cyclotron resonance mass spectrometry
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2008/11/18
Despite the acknowledged relevance of aerosol-derived water-soluble organic carbon (WSOC) to climate and biogeochemical cycling, characterization of aerosol WSOC has been limited. Electrospray ionizat...
Approximating the Finite Hilbert Transform via an Ostrowski Type Inequality for Functions of Bounded Variation
Finite Hilbert Transform Ostrowski's Inequality
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2008/7/2
Using the Ostrowski type inequality for functions of bounded variation, an approximation of the finite Hilbert Transform is given. Some numerical experiments are also provided.
Boundedness of the Wavelet Transform in Certain Function Spaces
Continuous wavelet transform Distributions Sobolev space Besov space Lizorkin-Triebel space
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2008/7/2
Boundedness of the Wavelet Transform in Certain Function Spaces.
On Weighted Inequalities with Geometric Mean Operator Generated by the Hardy-type Integral Transform
Integral inequalities Weights Geometric mean operator Kernels Riemann-Liouville operators
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2008/6/27
On Weighted Inequalities with Geometric Mean Operator Generated by the Hardy-type Integral Transform.
Estimate of the $L^p$-Fourier Transform Norm on Strong *-Regular Exponential Solvable Lie Groups
Exponential Lie group Plancherel measure unitary representation coadjoint orbit $L^p$-Fourier transform
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2007/12/13
We study the $L^{p}$-Fourier transform for a special class of exponential Lie groups, the strong $\ast$-regular exponential Lie groups. Moreover, we provide an estimate of its norm using the orbit met...
INVERSE RADON TRANSFORM WITH ONE-DIMENSIONAL WAVELET TRANSFORM
Radon transform wavelet tran
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2007/12/10
In this paper, the wavelet inverse formula of Radon transform is obtained with onedimensional wavelet. The convolution back-projection method of Radon transform is derived from this inverse formula. ...