Tag: Harmonic

September 10, 2024

Aspects of Harmonic Analysis on Locally Compact Abelian Groups

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Free Download Aspects of Harmonic Analysis on Locally Compact Abelian Groups
English | 2024 | ISBN: 9811291713 | 760 Pages | PDF (True) | 42 MB
The Fourier transform is a ‘tool’ used in engineering and computer vision to model periodic phenomena. Starting with the basics of measure theory and integration, this book delves into the harmonic analysis of locally compact abelian groups. It provides an in-depth tour of the beautiful theory of the Fourier transform based on the results of Gelfand, Pontrjagin, and Andre Weil in a manner accessible to an undergraduate student who has taken linear algebra and introductory real analysis.

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January 11, 2024

Harmonic Development and Contrapuntal Techniques for the Jazz Pianist

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Free Download Harmonic Development and Contrapuntal Techniques for the Jazz Pianist: An Imaginative Approach
English | 2024 | ISBN: 1032399236 | 222 Pages | PDF (True) | 76 MB
Harmonic Development and Contrapuntal Techniques for the Jazz Pianist serves as a guide for harmonic expansion and development for jazz piano, offering pianists both a rationale and methods to improve contrapuntal hand techniques.

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January 7, 2024

Sampling, Approximation, and Signal Analysis Harmonic Analysis in the Spirit of J. Rowland Higgins

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Free Download Sampling, Approximation, and Signal Analysis Harmonic Analysis: in the Spirit of J. Rowland Higgins by Stephen D. Casey, M. Maurice Dodson, Paulo J. S. G. Ferreira, Ahmed Zayed
English | PDF EPUB (True) | 2023 | 580 Pages | ISBN : 3031411293 | 67.7 MB
During his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a tribute to his work and legacy, featuring chapters written by distinguished mathematicians that explore cutting-edge research in sampling, approximation, signal analysis, and other related areas. An introductory chapter provides a biography of Higgins that explores his rich and unique life, along with a bibliography of his papers; a brief history of the SampTA meetings – of which he was a Founding Member – is also included. The remaining articles are grouped into four sections – classical sampling, theoretical extensions, frame theory, and applications of sampling theory – and explore Higgins’ contributions to these areas, as well as some of the latest developments.

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