SU\G(𝔸)/K·U
Mathematics › Mathematical Physics

Mathematical and Theoretical Analysis

Works Count: 24175

Description

This cluster of papers explores the applications of generalized functions, infinite and infinitesimal numbers, and non-Archimedean mathematics in various mathematical and physical contexts. It covers topics such as Colombeau algebras, numerical computations, nonlinear models, microlocal analysis, topological structures, algebraic theory, and nonstandard analysis.

Keywords

Generalized Functions; Infinite and Infinitesimal Numbers; Non-Archimedean Mathematics; Colombeau Algebras; Numerical Computations; Nonlinear Models; Microlocal Analysis; Topological Structures; Algebraic Theory; Nonstandard Analysis

Most Cited Works

Action Title Date Authors
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The Classical Theory of Fields 1975-01-01 L.D. LANDAU Efrat Lifshitz
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Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales 1922-01-01 Stefan Banach
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Calculus of Fractions and Homotopy Theory 1967-01-01 Peter Gabriel Michel Zisman
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Introduction to Piecewise-Linear Topology 1972-01-01 Colin Rourke Brian Sanderson
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Foundations of Mathematics and other Logical Essays 2013-10-15 Frank Plumpton Ramsey
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Convex Analysis and Measurable Multifunctions 1977-01-01 Charles Castaing Michel Valadier
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Homotopy Invariant Algebraic Structures on Topological Spaces 1973-01-01 J. M. Boardman R. M. Vogt
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Topics in Nonlinear Functional Analysis 2001-04-26 Louis Nirenberg
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Mathematical Analysis for Economists. 1938-09-01 Eva Schneider R. G. D. Allen
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Fractional diffusion and wave equations 1989-01-01 W. R. Schneider Walter Wyss
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Characteristic Classes and Homogeneous Spaces, I 1958-04-01 A. Borel F. Hirzebruch
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An Introduction to Mathematical Logic 2005-01-21 Elliott Mendelson
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<i>Quantum Physics: A Functional Integral Point of View</i> 1982-10-01 J. Gllmm Arthur Jaffe Frank Wilczek
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Axioms for Euclidean Green's functions II 1975-10-01 Konrad Osterwalder Robert Schrader
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An Introduction to Functional Analysis 2006-03-31 Angus E. Taylor P. J. Davis
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On the Stability of the linear Transformation in Banach Spaces. 1950-09-01 Tosio Aoki
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A Course in Functional Analysis. 1986-11-01 T. W. Gamelin John B. Conway
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Topology from the Differentiable Viewpoint. 1967-04-01 Edgar H. Brown John Milnor
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An Introduction to Harmonic Analysis. 1970-04-01 Guido Weiss Yitzhak Katznelson
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The Equivalence of Two Extremum Problems 1960-01-01 J. Kiefer J. Wolfowitz
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Complete Convergence and the Law of Large Numbers 1947-02-01 P. L. Hsu Herbert Robbins
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Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus 1990-08-01 Stefan Hilger
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Measures on the Closed Subspaces of a Hilbert Space 1975-01-01 Andrew M. Gleason
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Recent history of fractional calculus 2010-06-01 J. A. Tenreiro Machado Virginia Kiryakova Francesco Mainardi
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A COURSE IN MODERN ANALYSIS. 1903-02-01 Arthur S. Hathaway
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Mathematical Psychics. An Essay on the Application of Mathematics to the Moral Sciences. 1935-05-01 Erich Schneider F. Y. Edgeworth
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Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation 2001-01-01 Igor Podlubný B. Nemcovej
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Topological Methods in the Theory of Nonlinear Integral Equations. 1968-03-01 E. H. Rothe M. A. Krasnosel’skii A. H. Armstrong J. Burlak
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Banach Spaces of Analytic Functions. 1964-08-01 Garrett Johnson Kenneth A. Hoffman
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An optimal homotopy-analysis approach for strongly nonlinear differential equations 2009-09-13 Shijun Liao
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Integral representations of functions and imbedding theory 1978-09-01 Sergei M Nikol'skii
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On a Hilbert space of analytic functions and an associated integral transform part I 1961-08-01 V. Bargmann
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Weakly Differentiable Functions 1989-01-01 William P. Ziemer
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An Introduction to Fourier Analysis and Generalized Functions. 1959-03-01 Ray A. Kunze M. J. Lighthill
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Rational Homotopy Theory 1969-09-01 Daniel Quillen
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The Mathematics of Diffusion. 1957-03-01 J. W. Westwater H. G. Drickamer
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Note on the Frequency of Use of the Different Digits in Natural Numbers 1881-01-01 Simon Newcomb
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MULTIPLE INTEGRALS IN THE CALCULUS OF VARIATIONS AND NONLINEAR ELLIPTIC SYSTEMS 1984-11-01 Lawrence C. Evans
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The Laplace Transform. By D. V. Widder. Pp. x, 406. 36s. 1941. Princeton Mathematical series, 6. (Princeton University Press; Humphrey Milford) 1943-02-01 T. A. A. B.
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Extensions of Lipschitz mappings into a Hilbert space 1984-01-01 William B. Johnson Joram Lindenstrauss
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<i>The Classical Theory of Fields</i> 1963-06-01 L.D. LANDAU E.M. LIFSHITZ C. H. Holbrow
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Partial Differential Relations 1986-01-01 Mikhael Gromov
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Non-Additive Measure and Integral 1994-01-01 Dieter Denneberg
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Coincidence Degree, and Nonlinear Differential Equations 1977-01-01 Robert E. Gaines Jean Mawhin
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Phenomenological Lagrangians 1979-04-01 Steven Weinberg
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Some Unpleasant Monetarist Arithmetic 1981-09-01 Thomas J. Sargent
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If nothing goes wrong, is everything all right? Interpreting zero numerators 1983-04-01 J. A. Hanley
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A Course in Functional Analysis 1985-01-01 John B. Conway
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The Malliavin Calculus and Related Topics 1995-01-01 David Nualart
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Classical and New Inequalities in Analysis 1993-01-01 D. S. Mitrinović ‎Josip Pečarić A. M. Fink

Most Recent Works

Action Title Date Authors
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Natural Concept of the Foundations of Mathematics 2025-04-07 Petro P. Trokhimchuck
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Aryabhata's Contribution to Advancement in Arithmetic 2025-04-07 Gajendra Singh Chosching Lazes
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New interpretation of the original charged BTZ black hole spacetime 2025-04-07 Tomáš Hale Brayden R. Hull David Kubizňák Robert B. Mann Jana Menšíková
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More on the operator space entanglement (<i>OSE</i>): Rényi <i>OSE</i>, revivals, and integrability breaking 2025-04-07 Vincenzo Alba
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Wittgenstein and Ramsey on Probability, Frequency, and Belief 2025-04-07 Maria Carla Galavotti
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Arithmetic on Continued Fractions 2025-04-10 Michael J. Collins
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A Point-Free Look at Ostrowski's Theorem and Absolute Values 2025-04-10 Ming Ng Steven Vickers
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Fundamentals of Dual Basic Symmetric Quantum Calculus and Its Fractional Perspectives 2025-04-10 Muhammad Nasim Aftab Saad Ihsan Butt Youngsoo Seol
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Existence of optimum solution of the fractional integral equation via measure of noncompactness 2025-04-12 Mallika Sarmah Anupam Das Dipak Kumar Sarma
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A new criterion for the generalized Riemann hypothesis 2025-04-12 Gajendra Singh Kuldeep Singh Gehlot
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On Bornological Spaces of Series in Systems of Functions 2025-04-14 M. M. Sheremeta
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Les travaux de Laguerre sur les équations polynomiales et l’influence hermitienne 2025-04-15 Yannick VINCENT
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A study on Davison’s functional equation for set-valued functions 2025-04-16 Elham Mohammadi Abbas Najati Iz-iddine EL-Fassi
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Modeling the Digestion Process by a Distributed Delay Differential System 2025-04-16 Junli Liu Zhenghua Guo Hui Guo
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"Storchenburg" von Mengen 2025-04-16 Winfried Aßfalg
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An Axiomatic Approach to Mild Distributions 2025-04-16 Hans G. Feichtinger
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Draeger Infinity Central Station 2025-04-20
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HISTORY AND MATHEMATICS (VIA ONE PRACTICAL CLASS ON THE THEME «INTEGRAL CALCULUS. CALCULATING INTEGRALS WITH THE HELP OF THE GAMMA AND THE BETA FUNCTION») 2025-04-21 Alisa Tsukanova
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HUMAN AGENCY: THE POWER OF NATURAL LANGUAGE IN MATHEMATICS 2025-04-22 May Hamdan
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Holes: interpretation and simplification of concepts in the teaching of calculus 2025-04-23 Xueqiang Gou Chenguang Xin
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Dimensional reduction solutions: the domain wall, the cosmic string, and the three-dimensional BTZ black hole solutions 2025-04-24
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Euler and Modern Mathematics 2025-04-23 J. S. Chahal
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Arithmetic in Different Bases 2025-04-23 J. S. Chahal
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Numbers Beyond Rationals 2025-04-23 J. S. Chahal
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Nonperturbative quantum gravity denounces singular black holes 2025-04-23 Alexey S. Koshelev Anna Tokareva
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Limit Behaviours of the Largest Partial Quotient in Continued Fraction Expansions 2025-04-24 Lei Shang Min Wu
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A probabilistic proof for the Syracuse conjecture 2025-04-24 Imad El ghazi
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Locating Critical Points Using Ratios of Lee-Yang Zeros 2025-04-24 Tatsuya Wada Masakiyo Kitazawa K. Kanaya
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Estimation of the Fundamental Solution for a New Class of Non-Archimedean Pseudodifferential Equations 2025-04-24 Mariia V. Serdiuk
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An entanglement monotone from the contextual fraction 2025-04-24 Andrei Constantin Timothy M. Chan
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More Theory About Infinite Numbers and Important Applications 2025-04-24 Emmanuel Thalassinakis
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The multiplication probability of a finite ring 2025-04-25 David Dolžan
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Finite Mathematics 2025-04-29
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Nonlinearity and illfoundedness in the hierarchy of large cardinal consistency strength 2025-04-30 Joel David Hamkins
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On Structures of the Ring of Arithmetical Functions: Prime Ideals and Beyond 2025-04-30 Amartya Goswami Danielle Kleyn Kerry Porrill
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Commutators on some nuclear Fréchet spaces over non-Archimedean fields 2025-04-30 Wiesław Śliwa Agnieszka Ziemkowska
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Connected Pseudofinite Unars 2025-05-01 E. L. Efremov A. A. Stepanova S. G. Chekanov
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The semiotic potential of pseudo-random numbers for the idea of indeterminacy in algebra 2025-05-01 Mirko Maracci Gabriella Pocalana Greta Carlino
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The Resource Theory of Nonuniformity 2025-04-10
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Spaces of metrics are Baire 2025-05-01 Yoshito Ishiki
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A hypothetical learning trajectory for the construction of trigonometric equations with infinite solutions 2025-05-04 Teresa Castro Andrea Cárcamo Josep M. Fortuny
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Episodes from the history of infinitesimals 2025-05-05 Mikhail G. Katz
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Ulam–Hyers–Rassias Stability of ψ-Hilfer Volterra Integro-Differential Equations of Fractional Order Containing Multiple Variable Delays 2025-05-06 John R. Graef Osman Tunç Cemil Tunç
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Class Numbers, Congruent Numbers and Umbral Moonshine 2025-05-01 Miranda C. N. Cheng John F. R. Duncan Michael H. Mertens
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Multicombinators as observable presheaves 2025-05-06 Rocco Gangle Fernando Tohmé Gianluca Caterina
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Representation of a trigonometric integral via combinatorial sums 2025-05-06
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A Triptych on Empirical Philosophy of Mathematics. Part III: How? 2025-05-07 Deborah Kant Benedikt Löwe
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On Jensen-like form of Mikusiński's functional equation 2025-05-07 E. Imani Abbas Najati Mohammad Amin Tareeghee
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RELATIVE EXTREMA OF MULTIVARIABLE FUNCTIONS 2025-05-01 Lianwen Wang
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Rationalisation of multiple square roots in Feynman integrals 2025-05-08 Γεώργιος Παπαθανασίου Stefan Weinzierl Konglong Wu Yang Zhang