University of Toronto Department of Mathematics

Results: 146



#Item
51Proof that π is irrational / Fourier series / Trigonometry / Mathematics / Sine

Lp norms of a sine sum Jordan Bell Department of Mathematics, University of Toronto April 3, 2014 The following is an estimate of the Lp norms of a sum with nonnegative

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Language: English - Date: 2014-04-03 22:23:41
52Operator theory / Probability theory / Linear algebra / Fourier analysis / Borel set / Fourier transform / Support / Sigma-algebra / Cauchy–Schwarz inequality / Mathematical analysis / Mathematics / Measure theory

The Bochner-Minlos theorem Jordan Bell Department of Mathematics, University of Toronto May 13, 2014

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Language: English - Date: 2014-05-13 16:19:01
53Wave equation / Divergence / Sheaf / Euler equations / Continuity equation / Linear temporal logic / Heat equation / Calculus / Mathematical analysis / Multivariable calculus

The Euler equations in fluid mechanics Jordan Bell Department of Mathematics, University of Toronto April 14, 2014

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Language: English - Date: 2014-04-14 20:22:37
54Abstract algebra / Linear algebra / Mathematical series / Differential calculus / Vectors / Vector space / Formal power series / Linearization / Eigenvalues and eigenvectors / Algebra / Mathematics / Mathematical analysis

The Poincar´e-Dulac normal form theorem for formal vector fields Jordan Bell Department of Mathematics, University of Toronto April 3, 2014

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Language: English - Date: 2014-04-03 12:53:03
55Approximation theory / Fourier analysis / Trigonometric polynomial / Mathematics / Mathematical analysis / Trigonometry / Polynomials

Norms of trigonometric polynomials Jordan Bell Department of Mathematics, University of Toronto April 3, 2014 Theorem 1. Let 1 ≤ p ≤ q ≤ ∞. If fˆ(j) = 0 for |j| > n + 1 then

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Language: English - Date: 2014-04-03 12:55:40
56Spectral theory / Spectrum / Banach algebra / Holomorphic functional calculus / Holomorph / Banach space / Gelfand–Mazur theorem / Lambda calculus / Compact operator / Mathematical analysis / Mathematics / Abstract algebra

Banach algebras Jordan Bell Department of Mathematics, University of Toronto April 3, 2014

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Language: English - Date: 2014-04-03 12:17:06
57

Proof of the pentagonal number theorem Jordan Bell Department of Mathematics, University of Toronto April 3, 2014 Let A0 =

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Language: Polish - Date: 2014-04-03 12:52:56
    58Sheaf / Base / Open set / Distribution / Uniform space / Net / Topology / General topology / Filter

    Topological spaces and neighborhood filters Jordan Bell Department of Mathematics, University of Toronto April 3, 2014 If X is a set, a filter on X is a set F of subsets of X such that ∅ 6∈ F; i

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    Language: English - Date: 2014-04-03 12:52:14
    59Generalizations of the derivative / Calculus / Continuous function / Derivative / Product rule / Differential of a function / Mathematical analysis / Mathematics / Differential calculus

    Fr´echet derivatives and Gˆateaux derivatives Jordan Bell Department of Mathematics, University of Toronto April 3, 2014

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    Language: English - Date: 2014-04-03 12:51:04
    60Residue theorem / Fourier transform / Residue / Oscillator semigroup / Methods of contour integration / Mathematical analysis / Complex analysis / Operator theory

    The Fourier transform of holomorphic functions Jordan Bell Department of Mathematics, University of Toronto November 4, 2014 For f ∈ L1 (R), define

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    Language: English - Date: 2014-11-04 13:22:06
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