Sinopsis
Harmonic Analysis is an important tool that plays a vital role in many areas of mathematics as well as applications. It studies functions by decomposing them into components that are special functions. A prime example is decomposing a periodic function into a linear combination of sines and cosines. The subject is vast, and this book covers only the selection of topics that was dealt with in the course given at the Courant Institute in 2000 and 2019. These include standard topics like Fourier series and Fourier transforms of functions, as well as issues of convergence of Abel, Feier, and Poisson sums. At a slightly more advanced level the book studies convolutions with singular integrals, fractional derivatives, Sobolev spaces, embedding theorems, Hardy spaces, and BMO. Applications to elliptic partial differential equations and prediction theory are explored. Some space is devoted to harmonic analysis on compact non-Abelian groups and their representations, including some details about two groups: the permutation group and SO(3).
The text contains exercises at the end of most chapters and is suitable for advanced undergraduate students as well as first- or second-year graduate students specializing in the areas of analysis, PDE, probability or applied mathematics.
"Sinopsis" puede pertenecer a otra edición de este libro.
Acerca del autor
S.R.S. Varadhan, Courant Institute, New York University, NY.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Harmonic Analysis
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MP-AMM American Mathematical, 2022
ISBN 10: 1470465078
ISBN 13: 9781470465070
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Harmonic Analysis
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Paperback. Condición: New. Harmonic Analysis is an important tool that plays a vital role in many areas of mathematics as well as applications. It studies functions by decomposing them into components that are special functions. A prime example is decomposing a periodic function into a linear combination of sines and cosines. The subject is vast, and this book covers only the selection of topics that was dealt with in the course given at the Courant Institute in 2000 and 2019. These include standard topics like Fourier series and Fourier transforms of functions, as well as issues of convergence of Abel, Feier, and Poisson sums. At a slightly more advanced level the book studies convolutions with singular integrals, fractional derivatives, Sobolev spaces, embedding theorems, Hardy spaces, and BMO. Applications to elliptic partial differential equations and prediction theory are explored. Some space is devoted to harmonic analysis on compact non-Abelian groups and their representations, including some details about two groups: the permutation group and SO(3).The text contains exercises at the end of most chapters and is suitable for advanced undergraduate students as well as first- or second-year graduate students specializing in the areas of analysis, PDE, probability or applied mathematics. Nº de ref. del artículo: LU-9781470465070
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Harmonic Analysis (Paperback)
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American Mathematical Society, Providence, 2022
ISBN 10: 1470465078
ISBN 13: 9781470465070
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Paperback. Condición: new. Paperback. Harmonic Analysis is an important tool that plays a vital role in many areas of mathematics as well as applications. It studies functions by decomposing them into components that are special functions. A prime example is decomposing a periodic function into a linear combination of sines and cosines. The subject is vast, and this book covers only the selection of topics that was dealt with in the course given at the Courant Institute in 2000 and 2019. These include standard topics like Fourier series and Fourier transforms of functions, as well as issues of convergence of Abel, Feier, and Poisson sums. At a slightly more advanced level the book studies convolutions with singular integrals, fractional derivatives, Sobolev spaces, embedding theorems, Hardy spaces, and BMO. Applications to elliptic partial differential equations and prediction theory are explored. Some space is devoted to harmonic analysis on compact non-Abelian groups and their representations, including some details about two groups: the permutation group and SO(3).The text contains exercises at the end of most chapters and is suitable for advanced undergraduate students as well as first- or second-year graduate students specializing in the areas of analysis, PDE, probability or applied mathematics. Harmonic Analysis is an important tool that plays a vital role in many areas of mathematics as well as applications. The subject is vast, and this book covers only a selection of topics, such as Fourier series and Fourier transforms of functions, and issues of convergence of Abel, Feier, and Poisson sums. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9781470465070
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Harmonic Analysis: Vol 31
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Harmonic Analysis
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Harmonic Analysis (Courant Lecture Notes, 31)
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Harmonic Analysis (Courant Lecture Notes, 31)
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Harmonic Analysis
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Condición: New. Harmonic Analysis is an important tool that plays a vital role in many areas of mathematics as well as applications. The subject is vast, and this book covers only a selection of topics, such as Fourier series and Fourier transforms of functions, and issues. Nº de ref. del artículo: 628915203
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