46 relations: Acta Mathematica, AdS/CFT correspondence, Asymptotic expansion, Audio time stretching and pitch scaling, Binomial transform, Boundary value problem, Digital Library of Mathematical Functions, Dirichlet series, Feynman diagram, Finite difference, Finland, Fourier transform, Frequency domain, Gamma function, Gelfand representation, Generating function, Group algebra, Haar measure, Harmonic oscillator, Hilbert space, Hjalmar Mellin, Integral transform, Isometry, João Penedones, Laplace transform, Laplace's equation, Line integral, Linear map, Lp space, Mathematical statistics, Mathematics, Mellin inversion theorem, Multiplicative group, National Institute of Standards and Technology, Number theory, Perron's formula, Pontryagin duality, Prime-counting function, Principal branch, Quantum field theory, Quantum mechanics, Ramanujan's master theorem, Riemann zeta function, Riesz mean, Special functions, Two-sided Laplace transform.
Acta Mathematica is a peer-reviewed open-access scientific journal covering research in all fields of mathematics.
In theoretical physics, the anti-de Sitter/conformal field theory correspondence, sometimes called Maldacena duality or gauge/gravity duality, is a conjectured relationship between two kinds of physical theories.
In mathematics, an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a given function as the argument of the function tends towards a particular, often infinite, point.
Time stretching is the process of changing the speed or duration of an audio signal without affecting its pitch.
In combinatorics, the binomial transform is a sequence transformation (i.e., a transform of a sequence) that computes its forward differences.
In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional constraints, called the boundary conditions.
The Digital Library of Mathematical Functions (DLMF) is an online project at the National Institute of Standards and Technology to develop a major resource of mathematical reference data for special functions and their applications.
In mathematics, a Dirichlet series is any series of the form where s is complex, and a_n is a complex sequence.
In theoretical physics, Feynman diagrams are pictorial representations of the mathematical expressions describing the behavior of subatomic particles.
A finite difference is a mathematical expression of the form.
Finland (Suomi; Finland), officially the Republic of Finland is a country in Northern Europe bordering the Baltic Sea, Gulf of Bothnia, and Gulf of Finland, between Norway to the north, Sweden to the northwest, and Russia to the east.
The Fourier transform (FT) decomposes a function of time (a signal) into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes.
In electronics, control systems engineering, and statistics, the frequency domain refers to the analysis of mathematical functions or signals with respect to frequency, rather than time.
In mathematics, the gamma function (represented by, the capital Greek alphabet letter gamma) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.
In mathematics, the Gelfand representation in functional analysis (named after I. M. Gelfand) has two related meanings.
In mathematics, a generating function is a way of encoding an infinite sequence of numbers (an) by treating them as the coefficients of a power series.
In mathematics, the group algebra is any of various constructions to assign to a locally compact group an operator algebra (or more generally a Banach algebra), such that representations of the algebra are related to representations of the group.
In mathematical analysis, the Haar measure assigns an "invariant volume" to subsets of locally compact topological groups, consequently defining an integral for functions on those groups.
In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force, F, proportional to the displacement, x: where k is a positive constant.
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Robert Hjalmar Mellin (June 19, 1854 – April 5, 1933) was a Finnish mathematician and functional theorist.
In mathematics, an integral transform maps an equation from its original domain into another domain where it might be manipulated and solved much more easily than in the original domain.
In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective.
João Miguel Augusto Penedones Fernandes is a Portuguese theoretical physicist who has done significant work in the area of quantum field theory.
In mathematics, the Laplace transform is an integral transform named after its discoverer Pierre-Simon Laplace.
In mathematics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace who first studied its properties.
In mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve.
In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.
In mathematics, the Lp spaces are function spaces defined using a natural generalization of the ''p''-norm for finite-dimensional vector spaces.
Mathematical statistics is the application of mathematics to statistics, as opposed to techniques for collecting statistical data.
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
In mathematics, the Mellin inversion formula (named after Hjalmar Mellin) tells us conditions under which the inverse Mellin transform, or equivalently the inverse two-sided Laplace transform, are defined and recover the transformed function.
In mathematics and group theory, the term multiplicative group refers to one of the following concepts.
The National Institute of Standards and Technology (NIST) is one of the oldest physical science laboratories in the United States.
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
In mathematics, and more particularly in analytic number theory, Perron's formula is a formula due to Oskar Perron to calculate the sum of an arithmetical function, by means of an inverse Mellin transform.
In mathematics, specifically in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform on locally compact abelian groups, such as \R, the circle, or finite cyclic groups.
In mathematics, the prime-counting function is the function counting the number of prime numbers less than or equal to some real number x. It is denoted by (x) (unrelated to the number pi).
In mathematics, a principal branch is a function which selects one branch ("slice") of a multi-valued function.
In theoretical physics, quantum field theory (QFT) is the theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in condensed matter physics.
Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.
In mathematics, Ramanujan's master theorem (named after Srinivasa Ramanujan) is a technique that provides an analytic expression for the Mellin transform of an analytic function.
The Riemann zeta function or Euler–Riemann zeta function,, is a function of a complex variable s that analytically continues the sum of the Dirichlet series which converges when the real part of is greater than 1.
In mathematics, the Riesz mean is a certain mean of the terms in a series.
Special functions are particular mathematical functions which have more or less established names and notations due to their importance in mathematical analysis, functional analysis, physics, or other applications.
In mathematics, the two-sided Laplace transform or bilateral Laplace transform is an integral transform equivalent to probability's moment generating function.