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Bachelor thesis

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2024-01-17

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cc-by-nc-nd (c) Duna Rom Escuté, 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/208160

Demostració del teorema de convolució de Titchmarsh

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Abstract

[en] The Titchmarsh Convolution Theorem is a renowned theorem on the support of the convolution on two functions, and it has several possible equivalent formulations. Within this project, we expose the details of Thomas Randsford's proof [5], based on the factorization of functions in the space $H^{\infty}$ of holomorphic and bounded functions on the disk. To reformulate the convolution problem in terms of holomorphic functions one uses the Laplace transform.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Francesc Xavier Massaneda Clares

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Convolucions (Matemàtica), Funcions holomorfes, Transformació de Laplace, Treballs de fi de grau

Subject (English)

Convolutions (Mathematics), Holomorphic functions, Laplace transformation, Bachelor's theses

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

ROM ESCUTÉ, Duna. Demostració del teorema de convolució de Titchmarsh. [consulted: 10 of June of 2026]. Available at: https://hdl.handle.net/2445/208160

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