Fourier transformation of Sato's hyperfunctions

Συγγραφείς: A. G. Smirnov

Πηγή: Advances in Mathematics. 196:310-345

Θεματικοί όροι: Mathematics(all), Distributions and ultradistributions as boundary values of analytic functions, Mathematics - Complex Variables, Hyperfunctions, analytic functionals, Analytic functionals, 01 natural sciences, 32A45, Functional Analysis (math.FA), Mathematics - Functional Analysis, Fourier transformation, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, 0103 physical sciences, FOS: Mathematics, Integral transforms in distribution spaces, Gelfand-Shilov classes, ultrafunctionals, 46F15, Complex Variables (math.CV), 0101 mathematics, weighted inductive limit of entire functions, Hyperfunctions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/math/0401151
https://zbmath.org/2213017
https://doi.org/10.1016/j.aim.2004.09.003
https://www.sciencedirect.com/science/article/abs/pii/S0001870804002889
https://dialnet.unirioja.es/servlet/articulo?codigo=1275722
https://core.ac.uk/display/82788998
http://www.sciencedirect.com/science/article/pii/S0001870804002889
https://www.sciencedirect.com/science/article/pii/S0001870804002889

A note on Hölder regularity of invariant distributions for horocycle flows

Συγγραφείς: Cosentino, Salvatore

Συνεισφορές: Universidade do Minho

Πηγή: Nonlinearity. 18:2715-2726

Θεματικοί όροι: Hölder regularity, Distributions and ultradistributions as boundary values of analytic functions, compact surface of negative curvature, generalizations of Patterson-Sullivan measure, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Ergodicity, mixing, rates of mixing, Discrete subgroups of Lie groups, 0101 mathematics, Invariant distributions, Horocycle flow, 01 natural sciences

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://repositorium.sdum.uminho.pt/bitstream/1822/3353/1/invdist.pdf
https://zbmath.org/2248041
https://doi.org/10.1088/0951-7715/18/6/015
http://repositorium.sdum.uminho.pt/handle/1822/3353
http://iopscience.iop.org/article/10.1088/0951-7715/18/6/015/pdf
http://repositorium.sdum.uminho.pt/bitstream/1822/3353/1/invdist.pdf
http://ui.adsabs.harvard.edu/abs/2005Nonli..18.2715C/abstract
http://w3.math.uminho.pt/~scosentino/preprints/invdist.pdf
https://iopscience.iop.org/article/10.1088/0951-7715/18/6/015
https://hdl.handle.net/1822/3353

Distributional Wiener-Ikehara theorem and twin primes

Συγγραφείς: Korevaar, J.

Πηγή: Indagationes Mathematicae. 16:37-49

Θεματικοί όροι: 0301 basic medicine, Mathematics(all), Distributions and ultradistributions as boundary values of analytic functions, Tauberian theory, Tauberian theorems, Laplace transform, Pseudofunctions, distributions, pseudofunctions, 01 natural sciences, 03 medical and health sciences, Distribution of primes, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Twin primes, Fourier transform, Distributions, 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2175007
https://doi.org/10.1016/s0019-3577(05)80013-8
https://www.narcis.nl/publication/RecordID/oai%3Adare.uva.nl%3Apublications%2F448a5ca5-f3e0-4f95-a81d-7ecf957e379f
http://staff.science.uva.nl/~korevaar/DisWieIke.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1142953
https://documat.unirioja.es/servlet/articulo?codigo=1142953
https://www.sciencedirect.com/science/article/pii/S0019357705800138
https://www.sciencedirect.com/science/article/abs/pii/S0019357705800138

TWO REMARKS ON SCHWARZ FORMULA: Two remarks on Schwarz formula

Συγγραφείς: Peizhu Luo, Xiaqi Ding

Πηγή: Acta Mathematica Scientia. 25:1-6

Θεματικοί όροι: Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\), Riemann and other hypotheses, Distributions and ultradistributions as boundary values of analytic functions, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, Boundary value problems in the complex plane, 0101 mathematics, Harmonic, subharmonic, superharmonic functions in two dimensions, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2162835
https://doi.org/10.1016/s0252-9602(17)30255-2
https://www.sciencedirect.com/science/article/pii/S0252960217302552

Optimal Gevrey classes for the existence of solution operators for linear partial differential operators in three variables

Συγγραφείς: Reinhold Meise, B. A. Taylor, Rüdiger W. Braun

Πηγή: Journal of Mathematical Analysis and Applications. 297:852-868

Θεματικοί όροι: Distributions and ultradistributions as boundary values of analytic functions, optimal weights, General theory of partial differential operators, Gevrey classes, Applied Mathematics, Beurling ultradifferentiable functions, linear partial differential operators, 0101 mathematics, 01 natural sciences, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/abs/pii/S0022247X04004998
https://core.ac.uk/display/82762236
https://www.sciencedirect.com/science/article/pii/S0022247X04004998
https://www.sciencedirect.com/science/article/pii/S0022247X04004998#!

Distributions of Exponential Growth with Support in a Proper Convex Cone: Distributions of exponential growth with support in a proper convex cone

Συγγραφείς: Masanori Suwa

Πηγή: Publications of the Research Institute for Mathematical Sciences. 40:565-603

Θεματικοί όροι: Distributions and ultradistributions as boundary values of analytic functions, distributions of exponential growth, 0103 physical sciences, Paley-Wiener type theorem, Hyperfunctions, analytic functionals, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://shibaura.pure.elsevier.com/en/publications/distributions-of-exponential-growth-with-support-in-a-proper-conv
https://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=40&iss=2&rank=11
http://ci.nii.ac.jp/naid/130003585563

Distributions and measures on the boundary of a tree

Συγγραφείς: Flavia Colonna, Joel M. Cohen, David Singman

Πηγή: Journal of Mathematical Analysis and Applications. 293:89-107

Θεματικοί όροι: Distributions and ultradistributions as boundary values of analytic functions, space of measures, ultrametric spaces, Applied Mathematics, Spaces of measures, convergence of measures, boundary behavior of polyharmonic functions, Measures, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Trees, space of distributions, Distributions, 0101 mathematics, Boundary behavior of harmonic functions in higher dimensions, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2082131
https://doi.org/10.1016/j.jmaa.2003.12.015
https://core.ac.uk/display/81145133
http://math.gmu.edu/%7Edsingman/measure.pdf
http://www.sciencedirect.com/science/article/pii/S0022247X04000241
https://www.sciencedirect.com/science/article/pii/S0022247X04000241

Boundary values of analytic functions without distributional point values

Συγγραφείς: Ricardo Estrada

Πηγή: Tamkang Journal of Mathematics. 35:53-60

Θεματικοί όροι: 0301 basic medicine, 03 medical and health sciences, Distributions and ultradistributions as boundary values of analytic functions, Boundary behavior of power series in one complex variable, over-convergence, distributional point values, Integral transforms in distribution spaces, boundary values of analytic functions, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/226/232
https://zbmath.org/2114323
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/226

The kernel theorem for Cauchy ultradistribution: The kernel theorem for Cauchy ultradistribution.

Συγγραφείς: Lokenath Debnath, P. K. Banerji, Deshna Bhandari

Πηγή: Journal of Mathematical Analysis and Applications. 282:505-511

Θεματικοί όροι: Ultradistributions, Ultradifferential operator, Distributions and ultradistributions as boundary values of analytic functions, Cauchy integral, ultradistributions, Applied Mathematics, distributions, Cauchy kernel function, Distributions, ultradifferential operator, 0101 mathematics, 01 natural sciences, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0022247X03001379

Beurling ultradistributions of Lp-growth: Beurling ultradistributions of \(L_{p}\)-growth

Συγγραφείς: Carmen Fernández, Jorge J. Betancor, Antonio Galbis

Πηγή: Journal of Mathematical Analysis and Applications. 279:246-265

Θεματικοί όροι: Ultradistributions, Distributions and ultradistributions as boundary values of analytic functions, Hypoelliptic equations, ultradistributions, Applied Mathematics, Convolution operators, hypoellipticity, convolution operators, 01 natural sciences, Operations with distributions and generalized functions, Convolution as an integral transform, Convolutors, 0101 mathematics, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0022247X03000064
http://www.sciencedirect.com/science/article/pii/S0022247X03000064

Periodic Beurling Boehmians and Analytic Boehmians: Periodic Beurling Boehmians and analytic Boehmians

Συγγραφείς: Karunakaran, V., Roopkumar, R.

Πηγή: Methods Appl. Anal. 10, no. 1 (2003), 137-150

Θεματικοί όροι: Distributions and ultradistributions as boundary values of analytic functions, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://www.intlpress.com/site/pub/files/_fulltext/journals/maa/2003/0010/0001/MAA-2003-0010-0001-a008.pdf
https://zbmath.org/2208413
https://doi.org/10.4310/maa.2003.v10.n1.a8
https://dialnet.unirioja.es/servlet/articulo?codigo=1028868
https://www.intlpress.com/site/pub/files/_fulltext/journals/maa/2003/0010/0001/MAA-2003-0010-0001-a008.pdf
https://www.intlpress.com/site/pub/pages/journals/items/maa/content/vols/0010/0001/a008/
https://projecteuclid.org/download/pdf_1/euclid.maa/1118943106
http://projecteuclid.org/euclid.maa/1118943106

Wilson Bases and Ultramodulation Spaces: Wilson bases and ultramodulation spaces

Συγγραφείς: Pilipović, Stevan, Teofanov, Nenad

Πηγή: Mathematische Nachrichten. 242:179-196

Θεματικοί όροι: Distributions and ultradistributions as boundary values of analytic functions, ultramodulation spaces, Topological linear spaces of test functions, distributions and ultradistributions, Wilson bases, Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis), General harmonic expansions, frames, Nontrigonometric harmonic analysis involving wavelets and other special systems, 0101 mathematics, tempered ultradistribution, 01 natural sciences, modulation spaces

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.cris.uns.ac.rs/record.jsf?recordId=6516&source=OpenAIRE&language=en
http://doi.wiley.com/10.1002/1522-2616%28200207%29242%3A1%3C179%3A%3AAID-MANA179%3E3.0.CO%3B2-3
http://onlinelibrary.wiley.com/doi/10.1002/1522-2616(200207)242:1<179::AID-MANA179>3.0.CO;2-3/pdf
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2F1522-2616(200207)242:1%3C179::AID-MANA179%3E3.0.CO;2-3

Multiplications of Distributions in One Dimension and a First Application to Quantum Field Theory: Multiplications of distributions in one dimension and a first application to quantum field theory

Συγγραφείς: Fabio Bagarello

Πηγή: Journal of Mathematical Analysis and Applications. 266:298-320

Θεματικοί όροι: Distributions and ultradistributions as boundary values of analytic functions, Applied Mathematics, FOS: Physical sciences, Model quantum field theories, Mathematical Physics (math-ph), 02 engineering and technology, 01 natural sciences, Operations with distributions and generalized functions, multiplication of distributions, 0201 civil engineering, quatum field model, Applications of functional analysis in quantum physics, Constructive quantum field theory, free \(1+1\) Klein-Gordon theory, 0101 mathematics, Analysis, Mathematical Physics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/0904.0193
http://www1.unipa.it/fabio.bagarello/ricerca/articolipdf/distrib2.pdf
https://iris.unipa.it/handle/10447/195422
https://core.ac.uk/display/53305670
https://www.unipa.it/fabio.bagarello/ricerca/articolipdf/distrib2.pdf
https://www.sciencedirect.com/science/article/pii/S0022247X01977248

An F. and M. Riesz theorem for planar vector fields

Συγγραφείς: Jorge Hounie, Shiferaw Berhanu

Πηγή: Mathematische Annalen. 320:463-485

Θεματικοί όροι: Boundary value problems for linear first-order PDEs, Distributions and ultradistributions as boundary values of analytic functions, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Mathematics - Complex Variables, integrable vector field, FOS: Mathematics, Boundary value problems in the complex plane, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, \(H^p\)-spaces

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/math/0109056
http://arxiv.org/abs/math/0109056
https://dialnet.unirioja.es/servlet/articulo?codigo=2806534
https://link.springer.com/article/10.1007/PL00004482

Analytic Representation of Generalized Tempered Distributions by Wavelets: Analytic representation of generalized tempered distributions by wavelets

Συγγραφείς: Dae Hyeon Pahk, Byung Keun Sohn

Πηγή: Publications of the Research Institute for Mathematical Sciences. 37:141-149

Θεματικοί όροι: analytic representation, Distributions and ultradistributions as boundary values of analytic functions, Numerical methods for wavelets, analytic wavelets, Nontrigonometric harmonic analysis involving wavelets and other special systems, generalized tempered distributions of exponential growth, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=37&iss=2&rank=2
https://zbmath.org/1612030
https://doi.org/10.2977/prims/1145476847
https://ci.nii.ac.jp/naid/130003585498

Well-posedness of differential-operator problems. I: The Cauchy problem in spaces of distributions

Συγγραφείς: I. V. Melnikova

Πηγή: Journal of Mathematical Sciences. 93:1-21

Θεματικοί όροι: Distributions and ultradistributions as boundary values of analytic functions, Boundary value problems for functional-differential equations, abstract vector-valued distribution, distribution semigroup, well-posedness of a Cauchy problem, exponential distribution, \(d\)-semigroup, 0101 mathematics, 01 natural sciences, Functional-differential equations in abstract spaces, regular \(d\)-semigroup

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1292310
https://doi.org/10.1007/bf02365212
https://link.springer.com/content/pdf/10.1007/BF02365212.pdf
https://link.springer.com/article/10.1007/BF02365212

On the microlocal decomposition of some classes of hyperfunctions

Συγγραφείς: Eida, Atsuhiko, Pilipović, Stevan

Πηγή: Mathematical Proceedings of the Cambridge Philosophical Society. 125:455-461

Θεματικοί όροι: Distributions and ultradistributions as boundary values of analytic functions, microfunction, ultradistributions, distributions, hyperfunctions, Hyperfunctions, analytic functionals, ultradifferential functions, microlocal decompositions, 0101 mathematics, 01 natural sciences, Hyperfunctions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.cris.uns.ac.rs/record.jsf?recordId=6676&source=OpenAIRE&language=en
http://ui.adsabs.harvard.edu/abs/1999MPCPS.125..455E/abstract
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/on-the-microlocal-decomposition-of-some-classes-of-hyperfunctions/5DB0153D72DED5D987E7269821FBB504
http://www.journals.cambridge.org/abstract_S0305004198002886

Well-posedness of differential-operator problems. II: The Cauchy problem for complete second-order equations in Banach spaces

Συγγραφείς: Filinkov, A., Melnikova, I.

Πηγή: Journal of Mathematical Sciences. 93:22-41

Θεματικοί όροι: \(M,N\)-function family, \(\omega\)-closed operator pair, Distributions and ultradistributions as boundary values of analytic functions, Boundary value problems for functional-differential equations, 0103 physical sciences, \(\omega\)-well-posed problem, uniformly well-posed problem, the resolvent of an operator pair, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Functional-differential equations in abstract spaces

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1292311
https://doi.org/10.1007/bf02365213
https://digital.library.adelaide.edu.au/dspace/handle/2440/3633
https://link.springer.com/article/10.1007/BF02365213

Formal microlocalization

Συγγραφείς: Colin, Violaine

Πηγή: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 327:289-293

Θεματικοί όροι: Sato triangle, Relations of PDEs on manifolds with hyperfunctions, Distributions and ultradistributions as boundary values of analytic functions, complex analytic manifold, Sheaves of differential operators and their modules, \(D\)-modules, microlocalization, 0101 mathematics, 01 natural sciences, Derived categories, triangulated categories

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1511769
https://zbmath.org/1235026
https://doi.org/10.1016/s0764-4442(98)80148-1

Commutative Jacobi fields in Fock space

Συγγραφείς: Yurij M. Berezansky

Πηγή: Integral Equations and Operator Theory. 30:163-190

Θεματικοί όροι: distribution on infinite-dimensional spaces, Distributions and ultradistributions as boundary values of analytic functions, Distributions on infinite-dimensional spaces, Markov processes, Generalized stochastic processes, 0101 mathematics, spectral representation, 01 natural sciences, Jacobi field

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://cds.cern.ch/record/330052/files/SCAN-9707097.pdf
https://link.springer.com/article/10.1007/BF01238217