Similarities between Fourier transform and Modular form
Fourier transform and Modular form have 21 things in common (in Unionpedia): Absolute convergence, Absolute value, Analytic function, Automorphic form, Compact space, Complex analysis, Complex number, Eigenfunction, Fourier series, Haar measure, Hausdorff space, Holomorphic function, If and only if, Imaginary unit, Lie group, Number theory, Periodic function, Princeton University Press, Representation theory, Springer Science+Business Media, Theta function.
Absolute convergence
In mathematics, an infinite series of numbers is said to converge absolutely (or to be absolutely convergent) if the sum of the absolute values of the summands is finite.
Absolute convergence and Fourier transform · Absolute convergence and Modular form ·
Absolute value
In mathematics, the absolute value or modulus of a real number is the non-negative value of without regard to its sign.
Absolute value and Fourier transform · Absolute value and Modular form ·
Analytic function
In mathematics, an analytic function is a function that is locally given by a convergent power series.
Analytic function and Fourier transform · Analytic function and Modular form ·
Automorphic form
In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G of the topological group.
Automorphic form and Fourier transform · Automorphic form and Modular form ·
Compact space
In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).
Compact space and Fourier transform · Compact space and Modular form ·
Complex analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.
Complex analysis and Fourier transform · Complex analysis and Modular form ·
Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
Complex number and Fourier transform · Complex number and Modular form ·
Eigenfunction
In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function f in that space that, when acted upon by D, is only multiplied by some scaling factor called an eigenvalue.
Eigenfunction and Fourier transform · Eigenfunction and Modular form ·
Fourier series
In mathematics, a Fourier series is a way to represent a function as the sum of simple sine waves.
Fourier series and Fourier transform · Fourier series and Modular form ·
Haar measure
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.
Fourier transform and Haar measure · Haar measure and Modular form ·
Hausdorff space
In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods.
Fourier transform and Hausdorff space · Hausdorff space and Modular form ·
Holomorphic function
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.
Fourier transform and Holomorphic function · Holomorphic function and Modular form ·
If and only if
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
Fourier transform and If and only if · If and only if and Modular form ·
Imaginary unit
The imaginary unit or unit imaginary number is a solution to the quadratic equation.
Fourier transform and Imaginary unit · Imaginary unit and Modular form ·
Lie group
In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.
Fourier transform and Lie group · Lie group and Modular form ·
Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
Fourier transform and Number theory · Modular form and Number theory ·
Periodic function
In mathematics, a periodic function is a function that repeats its values in regular intervals or periods.
Fourier transform and Periodic function · Modular form and Periodic function ·
Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University.
Fourier transform and Princeton University Press · Modular form and Princeton University Press ·
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
Fourier transform and Representation theory · Modular form and Representation theory ·
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
Fourier transform and Springer Science+Business Media · Modular form and Springer Science+Business Media ·
Theta function
In mathematics, theta functions are special functions of several complex variables.
Fourier transform and Theta function · Modular form and Theta function ·
The list above answers the following questions
- What Fourier transform and Modular form have in common
- What are the similarities between Fourier transform and Modular form
Fourier transform and Modular form Comparison
Fourier transform has 248 relations, while Modular form has 103. As they have in common 21, the Jaccard index is 5.98% = 21 / (248 + 103).
References
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