Fractional calculus for distributions

Συγγραφείς: Hilfer, Rudolf, Kleiner, Tillmann

Πηγή: Fractional Calculus and Applied Analysis. 27:2063-2123

Θεματικοί όροι: General integral transforms, distributions, fractional calculus, 01 natural sciences, Operations with distributions and generalized functions, Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures, Fractional derivatives and integrals, Classical operational calculus, Integral transforms in distribution spaces, convolution, 0101 mathematics

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/7988569
https://doi.org/10.1007/s13540-024-00306-z
https://elib.uni-stuttgart.de/handle/11682/16600
http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-166000
https://doi.org/10.18419/opus-16581

A Distributional Version of the Ferenc Lukács Theorem: A distributional version of the Ferenc Lukács theorem

Συγγραφείς: Estrada, Ricardo

Πηγή: Sarajevo Journal of Mathematics. 1:75-92

Θεματικοί όροι: Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Conjugate functions, conjugate series, singular integrals, Abel-Poisson means, periodic distributions, conjugate Fourier series, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2166224

A Unified Approach to Time–Frequency Representations and Generalized Spectrograms: A unified approach to time-frequency representations and generalized spectrograms

Συγγραφείς: Elena Cordero, Gianluca Giacchi, Luigi Rodino

Πηγή: Journal of Fourier Analysis and Applications. 31

Θεματικοί όροι: Time–frequency analysis, Spectrogram, Short-time Fourier transform, Wigner distribution, Cohen's class, Signal theory (characterization, reconstruction, filtering, etc.), Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, time-frequency analysis, Cohen's class, Short-time Fourier transform, Spectrogram, Time–frequency analysis, Wigner distribution, Operations with distributions and generalized functions, Mathematics - Analysis of PDEs, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, spectrogram, short-time Fourier transform, Integral transforms in distribution spaces, 42A38, 46F10, 46F12, 81S30

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2401.03882
https://zbmath.org/8034231
https://doi.org/10.1007/s00041-024-10142-7
https://link.springer.com/article/10.1007/s00041-024-10142-7
https://hdl.handle.net/11585/1003061
https://doi.org/10.1007/s00041-024-10142-7
https://hdl.handle.net/2318/2067190
https://link-springer-com.bibliopass.unito.it/article/10.1007/s00041-024-10142-7
https://doi.org/10.1007/s00041-024-10142-7

Linear canonical wavelet transform and linear canonical wave packet transform on the Schwartz type spaces

Συγγραφείς: M. Thanga Rejini, R. Subash Moorthy

Πηγή: The Journal of Analysis. 33:455-479

Θεματικοί όροι: linear canonical transform, tempered distributions, wave packet transform, Topological linear spaces of test functions, distributions and ultradistributions, Schwartz space, Integral transforms in distribution spaces, canonical wavelet, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8035905
https://doi.org/10.1007/s41478-023-00673-5

Periodic generalized functions

Συγγραφείς: Szaz, A.

Πηγή: Publicationes Mathematicae Debrecen. 25:229-235

Θεματικοί όροι: Differentiation Operators, Topological linear spaces of test functions, distributions and ultradistributions, Trigonometric Polynomials, Periodic Generalized Functions, 0101 mathematics, Fourier Coefficients, 01 natural sciences, Commutative Frechet Algebra, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3616959

Convolution of temperate distributions

Συγγραφείς: Kučera, Jan

Πηγή: Publicationes Mathematicae Debrecen. 33:323-327

Θεματικοί όροι: inductive and projective limits, Topological linear spaces of test functions, distributions and ultradistributions, space of convolution operators, temperate distributions, Sobolev derivatives, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/4019766

Distributions of finite order in the operational calculus

Συγγραφείς: Wysocki, Hubert

Πηγή: Publicationes Mathematicae Debrecen. 38:49-68

Θεματικοί όροι: Leibniz formula, derivation, distributions of finite order, operational calculus, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/9724

The neutrix distribution product $x^\lambda_+ \circ x^\mu_+$: The neutrix distribution product \(x_+^{\lambda}\circ x_+^{\mu}\)

Συγγραφείς: Fisher, Brian, Kuribayashi, Yukio

Πηγή: Publicationes Mathematicae Debrecen. 31:95-101

Θεματικοί όροι: neutrix limit, neutrix product, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3886564

A new algebra of distributions; initial-value problems involving Schwartz distributions. I: A new algebra of distributions; initial value problems involving Schwartz distributions. II

Συγγραφείς: Krabbe, Gregers

Πηγή: Publicationes Mathematicae Debrecen. 22:279-292

Θεματικοί όροι: Convolution as an integral transform, Topological linear spaces of test functions, distributions and ultradistributions, Linear ordinary differential equations and systems, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3570978
https://zbmath.org/3503938

A result on the neutrix convolution product of distributions

Συγγραφείς: Fisher, Brian

Πηγή: Publicationes Mathematicae Debrecen. 37:267-271

Θεματικοί όροι: neutrix calculus, Integral transforms in distribution spaces, 0101 mathematics, convolution product, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/9557

Der rechts- und linksseitige Wert einer Distribution im Punkte

Συγγραφείς: Matusu, Josef

Πηγή: Publicationes Mathematicae Debrecen. 25:89-95

Θεματικοί όροι: Point Limit of a Distribution, Load of a Beam, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, 01 natural sciences, Integral of a Distribution, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3626056

On defining the distribution $\delta^{(r)}(f(x))$ for summable $f$: On defining the distribution \(\delta ^{(r)}(f(x))\) for summable f

Συγγραφείς: Fisher, Brian

Πηγή: Publicationes Mathematicae Debrecen. 32:233-241

Θεματικοί όροι: neutrix limit, distribution, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/4013299

An algebraic approach to distributions on an open interval

Συγγραφείς: Shultz, Harris S.

Πηγή: Publicationes Mathematicae Debrecen. 20:73-77

Θεματικοί όροι: Topological linear spaces of test functions, distributions and ultradistributions, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3434527

Solving convolution equations in $S^{'}_+$ by numerical method: Solving convolution equations in \(S_ +'\) by numerical method

Συγγραφείς: Pilipović, Stevan, Stojanovic, Mirjana

Πηγή: Publicationes Mathematicae Debrecen. 40:17-33

Θεματικοί όροι: Convolution as an integral transform, Numerical analysis in abstract spaces, convolution equations, Laguerre series, Laguerre expansions, General harmonic expansions, frames, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), structural properties of the basic spaces, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/56673
https://www.cris.uns.ac.rs/record.jsf?recordId=3255&source=OpenAIRE&language=en

On the product of distributions and the change of variable

Συγγραφείς: Fisher, Brian

Πηγή: Publicationes Mathematicae Debrecen. 35:37-42

Θεματικοί όροι: neutrix product, change of variable, 0101 mathematics, product of distributions, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/4094158

Hypoelliptic convolution equations in the space $\mathscr{H}'{M_p}$: Hypoelliptic convolution equations in the space \({\mathcal H}'\{M_ p\}\)

Συγγραφείς: Pilipović, S., Takači, A.

Πηγή: Publicationes Mathematicae Debrecen. 32:111-127

Θεματικοί όροι: Topological linear spaces of test functions, distributions and ultradistributions, Numerical computation of solutions to systems of equations, Fourier transform, 0101 mathematics, (p,q)-parametrix, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3955725

On compositions of distributions

Συγγραφείς: Kou, Huaizhong, Fisher, Brian

Πηγή: Publicationes Mathematicae Debrecen. 40:279-290

Θεματικοί όροι: universal definition of the compositions of distributions, double neutrix limit, compositions of one-dimensional distributions, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/40455

A theorem on the product of distributions

Συγγραφείς: Fisher, B.

Πηγή: Publicationes Mathematicae Debrecen. 27:243-249

Θεματικοί όροι: Dirac delta-function, regular sequence, 0101 mathematics, product of distributions, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3709015

On extremal domains and codomains for convolution of distributions and fractional calculus

Συγγραφείς: Kleiner, T., Hilfer, R.

Πηγή: Monatshefte für Mathematik. 198:121-152

Θεματικοί όροι: quantales, fractional calculus, spaces of distributions, 01 natural sciences, Operations with distributions and generalized functions, Convolution as an integral transform, General theory of locally convex spaces, Fractional derivatives and integrals, Quantales, Integral transforms in distribution spaces, convolution, 0101 mathematics

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1007/s00605-021-01646-1.pdf

On the convolution of distributions

Συγγραφείς: Fisher, B.

Πηγή: Publicationes Mathematicae Debrecen. 25:69-71

Θεματικοί όροι: Convolution as an integral transform, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3605428