UID:
almahu_9947366333602882
Format:
1 online resource (327 p.)
Edition:
2nd ed.
ISBN:
1-281-76340-3
,
9786611763404
,
0-08-087344-8
Series Statement:
Pure and applied mathematics (Academic Press) ; v. 32
Content:
Distributions and Fourier transforms
Note:
Description based upon print version of record.
,
Front Cover; Distributors and Fourier Transforms; Copyright Page; Contents; Preface; Part I: Introduction; Chapter 1. Equicontinuous Families; Chapter 2. Infinite Products; Chapter 3. Convex Functions; Chapter 4. The Gamma Function; Chapter 5. Measure and Integration; Chapter 6. Hausdorff Measures and Dimension; Chapter 7. Product Measures; Chapter 8. The Newtonian Potential; Chapter 9. Harmonic Functions and the Poisson Integral; Chapter 10. Smooth Functions; Chapter 11. Taylor's Formula; Chapter 12. The Orthogonal Group; Chapter 13. Second-Order Differential Operators
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Chapter 14. Convex SetsChapter 15. Convex Functions of Several Variables; Chapter 16. Analytic Functions of Several Variables; Chapter 17. Linear Topological Spaces; Part II: Distributions; Chapter 18. Distributions; Chapter 19. Differentiation of Distributions; Chapter 20. Topology of Distributions; Chapter 21. The Support of a Distribution; Chapter 22. Distributions in One Dimension; Chapter 23. Homogeneous Distributions; Chapter 24. The Analytic Continuation of Distributions; Chapter 25. The Convolution of a Distribution with a Test Function; Chapter 26. The Convolution of Distributions
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Chapter 27. Harmonic and Subharmonic DistributionsChapter 28. Temperate Distributions; Chapter 29. Fourier Transforms of Functions in S; Chapter 30. Fourier Transforms of Temperate Distributions; Chapter 31. The Convolution of Temperate Distributions; Chapter 32. Fourier Transforms of Homogeneous Distributions; Chapter 33. Periodic Distributions in One Variable; Chapter 34. Periodic Distributions in Several Variables; Chapter 35. Spherical Harmonics; Chapter 36. Singular Integrals; Part III: Harmonic Analysis; Chapter 37. Functions of Positive Type
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Chapter 38. Groups of Unitary TransformationsChapter 39. Autocorrelation Functions; Chapter 40. Uniform Distribution Modulo 1; Chapter 41. Schoenberg's Theorem; Chapter 42. Distributions of Positive Type; Chapter 43. Paley-Wiener Theorems; Chapter 44. Functions of the Pick Class; Chapter 45. Titchmarsh Convolution Theorem; Chapter 46. The Spectrum of a Distribution; Chapter 47. Tauberian Theorems; Chapter 48. Prime Number Theorem; Chapter 49. The Riemann Zeta Function; Chapter 50. Beurling's Theorem; Chapter 51. Riesz Convexity Theorem; Chapter 52. The Salem Example
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Chapter 53. Convolution OperatorsChapter 54. A Hardy-Littlewood Inequality; Chapter 55. Functions of Exponential Type; Chapter 56. The Bessel Kernel; Chapter 57. The Bessel Potential; Chapter 58. The Spaces of the Bessel Potential; Index
,
English
Additional Edition:
ISBN 0-12-220650-9
Language:
English
