University of Toronto Press
Introduction to the Theory of Distributions
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Author / Editor information
Israel Halperin (1911-2007) was a Canadian mathematician and professor emeritus of the University of Toronto, as well as a social activist.
Schwartz Laurent :
Laurent Schwartz (1915-2002) was was a French mathematician. He pioneered the theory of distributions, which gives a well-defined meaning to objects such as the Dirac delta function. He was awarded the Fields Medal in 1950 for his work on the theory of distributions. For several years he taught at the Ecole polytechnique.
Israel Halperin (1911-2007) was a Canadian mathematician and professor emeritus of the University of Toronto, as well as a social activist.
Laurent Schwartz (1915-2002) was was a French mathematician. He pioneered the theory of distributions, which gives a well-defined meaning to objects such as the Dirac delta function. He was awarded the Fields Medal in 1950 for his work on the theory of distributions. For several years he taught at the École polytechnique.
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Frontmatter
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PREFACE
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CONTENTS
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1. Introduction
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2. Point-functions as functionals
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3. The calculus of distributions
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4. Multiplication of distributions
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5. The order classification of distributions
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6. Continuity and convergence properties of distributions
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7. Nullity-sets and supporting-sets
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8. Differential equations involving distributions
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9. Distributions in several variables; definitions and examples
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10. Distributions in several variables; theory
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11. The convolution product
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12. Fourier series for distributions
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INDEX
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