Participate in expert discussion on topology and analysis topics. This includes point-set topology, Real, complex, harmonic and functional analysis. Also measure and integration theory.
Sub-forums
Threads
How to Prove This Complex Inequality Involving Factorials and Sums?
- klim
- · Replies 1 ·
Can This Complex Inequality Be Proven?
- klim
- · Replies 1 ·
Graduate When to Use Modulus of Convexity and Modulus of Smoothness in Calculations?
- moh salem
- · Replies 1 ·
Advanced Calculus - Differentiable and Converging Polynomials
- bradyrsmith31
- · Replies 2 ·
Undergrad Why is the principal square root of a complex number not well-defined?
- PFuser1232
- · Replies 2 ·
Graduate Reconstructing Group from Covering Maps
- WWGD
- · Replies 7 ·
Graduate What Book Best Explains Fourier Transforms for Quantum Mechanics?
- Avatrin
- · Replies 1 ·
Graduate Gaps In The System of Rational Numbers
- Bashyboy
- · Replies 29 ·
Graduate Symplectic And Contact Manifolds
- WWGD
- · Replies 15 ·
Every Cauchy sequence converges
- evinda
- · Replies 1 ·
Graduate Are All Manifolds Defined to Be Hausdorff?
- hideelo
- · Replies 1 ·
Graduate General Theorems on Bounding Manifolds?
- WWGD
- · Replies 1 ·
Norm in R^d with Lebesgue measure
- mathmari
- · Replies 9 ·
Is the Fourier Transform of an L1 Function Always Continuous and Bounded?
- mathmari
- · Replies 1 ·
Show Inclusion of Measures: Hölder's Inequality
- mathmari
- · Replies 1 ·
Show that it is metric and the measurable is 0
- mathmari
- · Replies 11 ·
Does the limit of $||f||_p$ equal $||f||_{\infty}$ as $p$ approaches infinity?
- mathmari
- · Replies 6 ·
Showing Connexity of $f(K)$ for Continuous $f$ on Connexe $K$
- Julio1
- · Replies 2 ·
Assume the Limit Exists: Proving an Impossibility
- Amad27
- · Replies 5 ·
Undergrad Functional Analysis vs. Complex Analysis?
- Feynman's fan
- · Replies 5 ·
Is the Function Phi Lipschitz for Lebesgue Measurable Sets?
- mathmari
- · Replies 1 ·
Graduate Is a Subset of the Eigenvector Matrix in PCA Equivalent to a Submanifold?
- emmasaunders12
- · Replies 15 ·
Get a Detailed Proof of Stirling's Formula
- Pratibha
- · Replies 1 ·
Graduate Question about Riemann Zeta Function
- willr12
- · Replies 2 ·
Does Compactness Ensure a Positive Minimum for Continuous Functions?
- kalvin
- · Replies 1 ·
Graduate What is the contradiction in the proof of Hahn Decomposition Theorem?
- nateHI
- · Replies 2 ·
Considering the criterion for limit proofs
- Amad27
- · Replies 1 ·
Graduate Is Notation Impacting Measurability in Tonelli/Fubini's Theorem?
- nateHI
- · Replies 3 ·
Show that there is a continuous g with compact support
- mathmari
- · Replies 1 ·
Prove Inequality: Nonnegative Reals {x}_{1}...{x}_{n} Sum to 1
- Mathick
- · Replies 1 ·
What is the objective of proving the limit for max and min?
- Amad27
- · Replies 2 ·
Graduate Continuity of an arc in the complex plane
- Bashyboy
- · Replies 4 ·
Graduate Eigenvectors of Fourier transform operator #F:L^2\to L^2#
- DavideGenoa
- · Replies 1 ·
Graduate Quotient space of the unit sphere
- hedipaldi
- · Replies 3 ·
Graduate Harmonic Functions: Laplace's Equations & Analytic Functions
- Fosheimdet
- · Replies 3 ·
Graduate Allowed values for the "differentiability limit" in complex analysis
- V0ODO0CH1LD
- · Replies 4 ·
Graduate Analyticity of the complex logarithm on the negative real axis
- Fosheimdet
- · Replies 4 ·
Proving ||u||_d = 0 and u=0 in Metric Spaces
- Linux
- · Replies 3 ·
Laurent series, integral of a holomorphic function
- Samwise1
- · Replies 2 ·
Analysis question involving Supremums and Infimums.
- pineapplechem
- · Replies 3 ·
Can you check my proof for a limit formula
- Amad27
- · Replies 1 ·
Linear Continuous AE(u): Unique Solution for Functional Analysis Problem
- Jakob1
- · Replies 2 ·
How Does Subtracting a Limit Value Affect Convergence?
- Amad27
- · Replies 1 ·
Concept of contour integration and integration along a square
- Amad27
- · Replies 27 ·
Proof of the Irrationality of e - attributed to Joseph Fourier
- Math Amateur
- · Replies 2 ·
Graduate More Complex Analysis studying recommendations
- MelissaJL
- · Replies 2 ·
Graduate Identical Fourier coefficients of continuous ##f,\varphi\Rightarrow f=\varphi##
- DavideGenoa
- · Replies 2 ·
What are the real and imaginary parts of z in terms of w?
- yenyen
- · Replies 1 ·
Tough limit proof for a general f(x) and g(x)
- Amad27
- · Replies 5 ·
Graduate Representing a function of one variable in terms of a sequence of gaussians
- thoughtgaze
- · Replies 2 ·
Graduate Convergence Criteria for Box Topology on R^ω
- hedipaldi
- · Replies 2 ·
Proving an Odd Function: ln(x+√(1+x²))
- Yankel
- · Replies 1 ·
Undergrad What is the proof that the limit of a Cauchy sequence of integers is an integer?
- xaara test
- · Replies 3 ·
Graduate Approximating simple function in $L_1$ with countable base
- DavideGenoa
- · Replies 1 ·
Graduate Does (-2)^(⅔) have an imaginary component?
- SafiBTA
- · Replies 1 ·
Graduate Special Properties of Hilbert Spaces?
- WWGD
- · Replies 33 ·
Graduate Non-homeomorphis between CP^4 and CP^2 x CP^2
- WWGD
- · Replies 4 ·
What Does Norm Convergence Mean in $L^p$ Spaces?
- mathmari
- · Replies 3 ·
On integration, measurability, almost everywhere concept
- kalish1
- · Replies 1 ·
Graduate Approximation of ##f\in L_p## with simple function ##f_n\in L_p##
- DavideGenoa
- · Replies 6 ·
How Can We Generalize Lebesgue Measurable Functions in Higher Dimensions?
- mathmari
- · Replies 1 ·
Graduate Complex analysis: residue integration question
- Wheelwalker
- · Replies 7 ·
What is this theorem about measurable functions saying?
- kalish1
- · Replies 1 ·
Why do the reals fill the rationals with the absolute value?
- evinda
- · Replies 2 ·
Undergrad Every sequence has a convergent subsequence?
- CoachBryan
- · Replies 6 ·
Graduate Definition of boundary, Stokes' theorem
- tom.stoer
- · Replies 6 ·
Proving Parseval's Theorem for Schwartz Functions with Compact Support
- Sonifa
- · Replies 1 ·
Graduate Why don't these open set axioms specify that the empty set is open?
- dumb_curiosity
- · Replies 13 ·
Graduate Prove √a(n) Converges to 0 | Stuck on Proof
- CoachBryan
- · Replies 3 ·
Lim of Convolution: Fourier Analysis Solution
- Sonifa
- · Replies 4 ·
Is it enough to show that it is a Lebesgue measure?
- mathmari
- · Replies 1 ·
Prove $\displaystyle \lim_{x \to 0}\frac{x}{1 + \sin^2(x)} = 0$
- Amad27
- · Replies 3 ·
Graduate Fourier transform of function of a complex variable
- thoughtgaze
- · Replies 1 ·
Graduate Lowest coefficient of the i part of Riemann exponents
- David Carroll
- · Replies 1 ·
Graduate Abuse of notation in relative homology theory
- andrewkirk
- · Replies 7 ·
Graduate Every bounded sequence is Cauchy?
- CoachBryan
- · Replies 2 ·
Undergrad Is the Real Number Line Actually Infinite?
- Stoney Pete
- · Replies 2 ·
Graduate Are Complex Analysis and Complex Variables the same thing?
- Math10
- · Replies 6 ·
Undergrad Other names for the domain and range-straightening theorems?
- quasar987
- · Replies 2 ·
Is Swapping Limits and Integrals Justified in Complex Analysis?
- chisigma
- · Replies 4 ·
Cauchy Sequences: What it Means to be $|x_{n+1}-x_n|_p< \epsilon$
- evinda
- · Replies 11 ·
Graduate Is F continuous if it is both upper and lower semicontinuous?
- moh salem
- · Replies 8 ·
Graduate A misunderstanding of compact sets
- scinoob
- · Replies 12 ·
Graduate Explaining Electroweak Theory Decomposition to a Beginner
- noahcharris
- · Replies 3 ·
Graduate Measurability and Lebesgue integral of complex functions
- DavideGenoa
- · Replies 4 ·
Proving an Infinite $\sigma-$Algebra is Uncountable
- mathmari
- · Replies 3 ·
Find a subset of the real numbers
- mathmari
- · Replies 7 ·
How to Calculate $\int_0 ^{\infty} \sin t^2$ Using Complex Analysis?
- Jakob1
- · Replies 21 ·
Graduate Finding the Normal Cone of a Closed Convex Subset in a Hilbert Space
- moh salem
- · Replies 5 ·
Why Is a Rectangle Considered Closed and Bounded in Volume Proofs?
- mathmari
- · Replies 1 ·
Proving the Zero Lebesgue Measure of Continuous Real Functions: Guidance Needed
- mathmari
- · Replies 11 ·
Graduate Two conditions of existence for Lebesgue integral
- DavideGenoa
- · Replies 2 ·
The rectangle has an empty interior
- mathmari
- · Replies 15 ·
Measure Union of n Measurable Sets: Formula & Examples
- mathmari
- · Replies 3 ·
Show that the measure is equal to zero
- mathmari
- · Replies 5 ·
Graduate Can I get some examples of a function with following properies
- catsarebad
- · Replies 14 ·
Undergrad Why is preferable the line integral than the area integral over C plan
- Jhenrique
- · Replies 3 ·
Graduate Conformal Mapping: Transforming Polygons to Circles?
- JulieK
- · Replies 5 ·
Graduate Complex Analysis: Learning Resources and Practice Problems
- MelissaJL
- · Replies 5 ·
Graduate Complements of Curves in Closed Surfaces: Homeomorphic?
- WWGD
- · Replies 3 ·