Integral transforms and special functions, ISSN 1065-2469, 1993

Journal

2018, 1, ISBN 9781138588035, Volume 1, 428

'An Introduction to Integral Transforms' is meant for students pursuing graduate and post graduate studies in Science and Engineering...

Mathematics & Statistics for Engineers | Differential Equations | Mathematical Analysis | Integral transforms | Transformations (Mathematics)

Mathematics & Statistics for Engineers | Differential Equations | Mathematical Analysis | Integral transforms | Transformations (Mathematics)

eBook

The Journal of the Acoustical Society of America, ISSN 0001-4966, 2018, Volume 143, Issue 5, pp. 2729 - 2743

...; on the other hand, such a phenomenon can also be used for structure or media evaluation. In this study, the authors propose an original dispersive Radon transform (DRT...

Life Sciences | Bioengineering | Acoustics | Engineering Sciences | Imaging | Signal and Image processing

Life Sciences | Bioengineering | Acoustics | Engineering Sciences | Imaging | Signal and Image processing

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 08/2017, Volume 480, pp. 63 - 78

We present a new formulation of Fourier transform in the picture of the κ-algebra derived in the framework of the κ...

Fourier integral transform | Power-law distribution | Log-periodic oscillations | [formula omitted]-deformed algebra | κ-deformed algebra

Fourier integral transform | Power-law distribution | Log-periodic oscillations | [formula omitted]-deformed algebra | κ-deformed algebra

Journal Article

2015, Other titles in applied mathematics, ISBN 9781611973815, Volume 141, xi, 293

Book

1997, 1, ISBN 9789056995546, xvi, 415

... - this work provides a comprehensive analysis of the many important integral transforms and renders particular attention to all of the technical aspects of the subject...

Theory of distributions (Functional analysis) | Integral transforms | Museum and Heritage Studies

Theory of distributions (Functional analysis) | Integral transforms | Museum and Heritage Studies

Book

1991, ISBN 9780134889337, vii, 128

Book

2015, Encyclopedia of mathematics and its applications, ISBN 9780521854597, Volume 160, xvii, 576 pages

Book

IEEE Transactions on Automatic Control, ISSN 0018-9286, 09/2018, Volume 63, Issue 9, pp. 2844 - 2854

Computation of moments of transformed random variables is a problem appearing in many engineering applications. The current methods for moment transformation...

Bayesian quadrature | function approximation | Transforms | Gaussian processes | moment transformation | recursive estimation | Probabilistic logic | Bayes methods | Random variables | Kalman filters | Kernel | FILTERS | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Coordinate transformations | Gaussian process | Filtration | Integrals | Bayesian analysis

Bayesian quadrature | function approximation | Transforms | Gaussian processes | moment transformation | recursive estimation | Probabilistic logic | Bayes methods | Random variables | Kalman filters | Kernel | FILTERS | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Coordinate transformations | Gaussian process | Filtration | Integrals | Bayesian analysis

Journal Article

2006, Mathematical surveys and monographs, ISBN 9780821838716, Volume no. 125., ix, 272

Book

1994, Mathematics and its applications, ISBN 0792328566, Volume 287., xi, 324

Book

12.
Full Text
On the Fourier transform of Bessel functions over complex numbers---II: The general case

Transactions of the American Mathematical Society, ISSN 0002-9947, 04/2019, Volume 372, Issue 4, pp. 2829 - 2854

In this paper, we prove an exponential integral formula for the Fourier transform of Bessel functions over complex numbers, along with a radial exponential integral formula...

MATHEMATICS | ZETA | WALDSPURGER CORRESPONDENCE | exponential integral formulae | IDENTITIES | Bessel functions

MATHEMATICS | ZETA | WALDSPURGER CORRESPONDENCE | exponential integral formulae | IDENTITIES | Bessel functions

Journal Article

Communications in nonlinear science & numerical simulation, ISSN 1007-5704, 2016, Volume 37, pp. 31 - 61

•New type of differences of integer and non-integer orders are proposed.•Discretization of Riesz fractional differentiation and integration are...

Discretization | Non-standard differences | Finite differences | Infinite series | Fractional integral | Exact discretization | Fourier transform | Fractional difference | Fractional derivative | NUMERICAL-METHODS | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | CALCULUS | DISPERSION | EQUATIONS | PHYSICS, MATHEMATICAL | LONG-RANGE INTERACTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SPACE-TIME | DYNAMICS | FRACTIONAL ORDER DIFFERENTIATOR | LATTICE MODEL | GEOMETRY | Integers | Operators | Algebra | Mathematical analysis | Differential equations | Mathematical models | Derivatives

Discretization | Non-standard differences | Finite differences | Infinite series | Fractional integral | Exact discretization | Fourier transform | Fractional difference | Fractional derivative | NUMERICAL-METHODS | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | CALCULUS | DISPERSION | EQUATIONS | PHYSICS, MATHEMATICAL | LONG-RANGE INTERACTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SPACE-TIME | DYNAMICS | FRACTIONAL ORDER DIFFERENTIATOR | LATTICE MODEL | GEOMETRY | Integers | Operators | Algebra | Mathematical analysis | Differential equations | Mathematical models | Derivatives

Journal Article

Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 10/2019, Volume 49, pp. 405 - 417

In this paper, we consider the following singular integral Tjf(x)=Kj∗f(x),Kj(x)=xj|x|n+1−β,where x∈Rn,0≤β Riesz transform | Singular integral | Surface quasi-geostrophic equation

Journal Article

2009, Encyclopedia of mathematics and its applications, ISBN 9780521887625, Volume 124, 125, 2 v.

The Hilbert transform has many uses, including solving problems in aerodynamics, condensed matter physics, optics, fluids, and engineering...

Hilbert transform

Hilbert transform

Book

Optical and quantum electronics, ISSN 1572-817X, 2018, Volume 50, Issue 2, pp. 1 - 9

In this study authors introduce the conformable double Laplace transform which can be used to solve fractional partial differential equations that represents many physical and engineering models...

35C05 | Fractional telegraph equation | Physics | Conformable fractional integral | Conformable fractional derivative | Optics, Lasers, Photonics, Optical Devices | 35R11 | Characterization and Evaluation of Materials | Fractional heat equation | 35A20 | Double Laplace transform | Computer Communication Networks | Electrical Engineering | QUANTUM SCIENCE & TECHNOLOGY | EVOLUTION | EQUATIONS | OPTICS | ENGINEERING, ELECTRICAL & ELECTRONIC | Analysis | Differential equations

35C05 | Fractional telegraph equation | Physics | Conformable fractional integral | Conformable fractional derivative | Optics, Lasers, Photonics, Optical Devices | 35R11 | Characterization and Evaluation of Materials | Fractional heat equation | 35A20 | Double Laplace transform | Computer Communication Networks | Electrical Engineering | QUANTUM SCIENCE & TECHNOLOGY | EVOLUTION | EQUATIONS | OPTICS | ENGINEERING, ELECTRICAL & ELECTRONIC | Analysis | Differential equations

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 09/2017, Volume 273, Issue 6, pp. 2026 - 2069

.... In turn, this yields an equivalent characterization of j-projection bodies involving Alesker's Fourier type transform on translation invariant smooth spherical valuations...

Area measures | Alesker–Fourier transform | Valuations | Projection functions | CONVEX-BODIES | RADON TRANSFORMS | VOLUMES | INTEGRAL GEOMETRY | SECTIONS | CONVOLUTIONS | MATHEMATICS | INTERSECTION BODIES | BUSEMANN-PETTY PROBLEM | TRANSLATION-INVARIANT VALUATIONS | Alesker-Fourier transform | School construction | Valuation

Area measures | Alesker–Fourier transform | Valuations | Projection functions | CONVEX-BODIES | RADON TRANSFORMS | VOLUMES | INTEGRAL GEOMETRY | SECTIONS | CONVOLUTIONS | MATHEMATICS | INTERSECTION BODIES | BUSEMANN-PETTY PROBLEM | TRANSLATION-INVARIANT VALUATIONS | Alesker-Fourier transform | School construction | Valuation

Journal Article

Inverse Problems, ISSN 0266-5611, 10/2015, Volume 31, Issue 11, pp. 115010 - 115030

Several novel imaging applications have lead recently to a variety of Radon type transforms, where integration is made over a family of conical surfaces...

Radon transform | integral geometry | inversion | Compton camera imaging | cone transform | MATHEMATICS, APPLIED | RECONSTRUCTION | PHYSICS, MATHEMATICAL | GAMMA-CAMERA | Inverse problems | Radon | Imaging | Transforms | Inversions | Homeland security | Cameras | Astronomy

Radon transform | integral geometry | inversion | Compton camera imaging | cone transform | MATHEMATICS, APPLIED | RECONSTRUCTION | PHYSICS, MATHEMATICAL | GAMMA-CAMERA | Inverse problems | Radon | Imaging | Transforms | Inversions | Homeland security | Cameras | Astronomy

Journal Article

IEEE Transactions on Signal Processing, ISSN 1053-587X, 10/2013, Volume 61, Issue 19, pp. 4768 - 4781

Generalized analytic signal associated with the linear canonical transform (LCT) was proposed recently by Fu and Li...

Time-frequency analysis | Hilbert transform | Fourier transforms | Baseband | Chirp | generalized analytic signal | Analytic signal | Joints | linear canonical transform | fractional Hilbert transform | Generalized analytic signal | Linear canonical transform | Fractional Hilbert transform | SIGNAL | FRACTIONAL FOURIER-TRANSFORMS | SYSTEMS | OPTICS | INSTANTANEOUS FREQUENCY | ENGINEERING, ELECTRICAL & ELECTRONIC | Signal processing | Fourier transformations | Usage | Integral equations | Innovations | Least squares | Integral transforms | Heat treatment | Integrals | Mathematical analysis | Transforms | Distortion | Inverse | Flexibility

Time-frequency analysis | Hilbert transform | Fourier transforms | Baseband | Chirp | generalized analytic signal | Analytic signal | Joints | linear canonical transform | fractional Hilbert transform | Generalized analytic signal | Linear canonical transform | Fractional Hilbert transform | SIGNAL | FRACTIONAL FOURIER-TRANSFORMS | SYSTEMS | OPTICS | INSTANTANEOUS FREQUENCY | ENGINEERING, ELECTRICAL & ELECTRONIC | Signal processing | Fourier transformations | Usage | Integral equations | Innovations | Least squares | Integral transforms | Heat treatment | Integrals | Mathematical analysis | Transforms | Distortion | Inverse | Flexibility

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/2017, Volume 452, Issue 2, pp. 1082 - 1100

We prove a general expansion formula in Askey–Wilson polynomials using Bailey transform and Bressoud inversion...

Bressoud inversion | Andrews formula | Nassrallah–Rahman integral | Bailey transform | Expansion formulae | Askey–Wilson polynomials | MATHEMATICS, APPLIED | Nassrallah-Rahman integral | SERIES | IDENTITIES | SUMMATION | Askey-Wilson polynomials | INTEGRALS | MATHEMATICS | Q-JACOBI | Mathematics | General Mathematics | Classical Analysis and ODEs

Bressoud inversion | Andrews formula | Nassrallah–Rahman integral | Bailey transform | Expansion formulae | Askey–Wilson polynomials | MATHEMATICS, APPLIED | Nassrallah-Rahman integral | SERIES | IDENTITIES | SUMMATION | Askey-Wilson polynomials | INTEGRALS | MATHEMATICS | Q-JACOBI | Mathematics | General Mathematics | Classical Analysis and ODEs

Journal Article

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