Suchergebnisse - Operations with distributions and generalized functions

Fractional calculus for distributions

Autoren: Hilfer, Rudolf Kleiner, Tillmann

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

Schlagwörter: 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

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: 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

Periodic generalized functions

Autoren: Szaz, A.

Quelle: Publicationes Mathematicae Debrecen. 25:229-235

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3616959

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

Autoren: Elena Cordero Gianluca Giacchi Luigi Rodino

Quelle: Journal of Fourier Analysis and Applications. 31

Schlagwörter: 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

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: 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

Multivariate Generalized Pareto Distributions

Autoren: Rootzén, Holger Tajvidi, Nader

Quelle: Bernoulli, 2006 Oct 01. 12(5), 917-930.

Zugangs-URL: https://www.jstor.org/stable/25464843

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

Autoren: Estrada, Ricardo

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2166224

Embedding Distributions in Algebras of Generalized Functions with Singularities: Embedding distributions in algebras of generalized functions with singularities

Autoren: Hans Vernaeve

Quelle: Monatshefte f�r Mathematik. 138:307-318

Schlagwörter: Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Existence of generalized solutions of PDE, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions, Shocks and singularities for hyperbolic equations

Dateibeschreibung: application/xml

Zugangs-URL: https://core.ac.uk/display/55877978
https://biblio.ugent.be/publication/415467
https://link.springer.com/article/10.1007%2Fs00605-002-0505-0

A result on the neutrix convolution product of distributions

Autoren: Fisher, Brian

Quelle: Publicationes Mathematicae Debrecen. 37:267-271

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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/9557

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

Autoren: Fisher, Brian

Quelle: Publicationes Mathematicae Debrecen. 32:233-241

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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/4013299

Convolution of temperate distributions

Autoren: Kučera, Jan

Quelle: Publicationes Mathematicae Debrecen. 33:323-327

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/4019766

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

Autoren: Fisher, Brian Kuribayashi, Yukio

Quelle: Publicationes Mathematicae Debrecen. 31:95-101

Schlagwörter: neutrix limit, neutrix product, Operations with distributions and generalized functions

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Krabbe, Gregers

Quelle: Publicationes Mathematicae Debrecen. 22:279-292

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3570978
https://zbmath.org/3503938

An algebraic approach to distributions on an open interval

Autoren: Shultz, Harris S.

Quelle: Publicationes Mathematicae Debrecen. 20:73-77

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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3434527

A theorem on the product of distributions

Autoren: Fisher, B.

Quelle: Publicationes Mathematicae Debrecen. 27:243-249

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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3709015

Analysis on the p-adic superspace. I. Generalized functions: Gaussian distribution: Analysis on the \(p\)-adic superspace. I: Generalized functions: Gaussian distribution

Autoren: A. Yu. Khrennikov

Quelle: Journal of Mathematical Physics. 33:1636-1642

Schlagwörter: \(p\)-adic gamma function of Morita, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions, non-Archimedean functional analysis, super-commutative Banach superalgebra, supermeasure, 0103 physical sciences, generalized functions on the \(p\)-adic superspace, \(p\)-adic Gaussian integration, 0101 mathematics, trivial annihilator, 01 natural sciences, Operations with distributions and generalized functions

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/94176
https://doi.org/10.1063/1.529690
http://ui.adsabs.harvard.edu/abs/1992JMP....33.1636K/abstract
https://aip.scitation.org/doi/full/10.1063/1.529690
https://scitation.aip.org/content/aip/journal/jmp/33/5/10.1063/1.529690

On the product of distributions and the change of variable

Autoren: Fisher, Brian

Quelle: Publicationes Mathematicae Debrecen. 35:37-42

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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/4094158

On compositions of distributions

Autoren: Kou, Huaizhong Fisher, Brian

Quelle: Publicationes Mathematicae Debrecen. 40:279-290

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/40455

Distributions of finite order in the operational calculus

Autoren: Wysocki, Hubert

Quelle: Publicationes Mathematicae Debrecen. 38:49-68

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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/9724

Der rechts- und linksseitige Wert einer Distribution im Punkte

Autoren: Matusu, Josef

Quelle: Publicationes Mathematicae Debrecen. 25:89-95

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3626056

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

Autoren: Kleiner, T. Hilfer, R.

Quelle: Monatshefte für Mathematik. 198:121-152

Schlagwörter: 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

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://link.springer.com/content/pdf/10.1007/s00605-021-01646-1.pdf

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

Autoren: M. Thanga Rejini R. Subash Moorthy

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8035905
https://doi.org/10.1007/s41478-023-00673-5