**Proceedings of Symposia in Pure Mathematics**

Volume: 35;
1979;
438 pp;
Softcover

MSC: Primary 42;
Secondary 43

**Print ISBN: 978-0-8218-1438-3
Product Code: PSPUM/35.2**

List Price: $60.00

AMS Member Price: $48.00

MAA Member Price: $54.00

**Electronic ISBN: 978-0-8218-9324-1
Product Code: PSPUM/35.2.E**

List Price: $56.00

AMS Member Price: $44.80

MAA Member Price: $50.40

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# Harmonic Analysis in Euclidean Spaces, Part 2

Share this page *Edited by *
*Guido Weiss; Stephen Wainger*

# Table of Contents

## Harmonic Analysis in Euclidean Spaces, Part 2

- Contents of Part 2 v6 free
- Chapter 4. Several complex variables 110 free
- Singular integrals in complex analysis 312
- B.M.O. functions in complex analysis 4352
- Smoothness of harmonic and holomorphic functions 6372
- Remarks on zeros of H[sup(p)] functions in balls 6978
- Inverting Hb on some weakly pseudo-convex domains 7382
- On some estimates for the a[omitted] Neumann problem in nonpseudo convex domains 7786
- Remarks on isolated degeneracies of the Levi form and the analytic hypoellipticity of D[sub(b)] and related partial differential operators 8594
- Remarks on the Casorati-Weierstrass theorem. 91100
- Peak sets for A °°(D) 97106

- Chapter 5. Pseudo differential operators and Partial differential equations 103112
- Sharp estimates for pseudodifferential operators 105114
- Fourier integral operators and harmonic analysis on compact manifolds 115124
- Sharp Garding inequalities 137146
- Subelliptic estimates 143152
- L[sup(p)] and Holder estimates for pseudodifferential operators: Necessary conditions 153162
- Some new classes of pseudo-differential operators 159168
- L[sup(p)] estimates for the wave equation 171180
- Estimates from Lpto its dual for the Klein-Gordon equation 175184
- Dirichlet and Neumann problems for the heat equation in C1-cylinders 179188
- Applications of A. P. Calderon's Cauchy integral theorem 197206
- Edge of the wedge theorem for partial differential equations 203212
- Remarks on decay rates of partial differential equations in infinite domains inR[sup(n)] 213222
- Necessary and sufficient conditions for local solvability on the Heisenberg group 219228
- Smoothness of solutions of certain partial differential equations constructed from vector fields 227236

- Chapter 6. Harmonic analysis in other settings: Probability, martingales, local fields, Lie groups and functional analysis 231240
- Nikis[sup(v)]in-Stein theory and factorization with applications 233242
- Complex interpolation for families of Banach spaces 269278
- Martingale theory and harmonic analysis in Euclidean spaces 283292
- Applications of the conformal invariance of Brownian motion 303312
- An introduction to Hardy spaces on local fields 311320
- Singular integrals on local fields and generalizations to martingales 317326
- Triadic and dyadic conjugate martingales 321330
- H[sup(n)]sets for the group of integers of a p-series field 325334
- Pointwise differentiation on local fields 329338
- Singular integral multipliers on local fields 333342
- Extendibility of convolution operators and convergence of Fourier series on local fields; integral homogeneity of distributions 337346
- Multipliers on symmetric spaces 345354
- L[sup(p)]multipliers on the Heisenberg group 355364
- Invariant distrubutions 361370
- Singular integral operators on nilpotent Lie groups 375384
- On the Fourier transform for the ax + b group 379388
- Some estimates on symmetric spaces related to the Laplace-Beltrami operator 387396
- Non-isotropic Lipschitz spaces 391400
- Fractional integration on nilpotent groups and representations of semisimple groups 395404
- A tauberian property of the convolution semi-group generated by X[sup(2)]–Y[sup(r)] on the Heisenberg group 403412
- A new class of Bessel functions and applications in harmonic analysis 407416
- Multipliers and Parseval type fromulas for Jacobi series 417426
- The harmonic machinery for eigenfunction expansions 429438
- The square function for L[sub(1)], L[sub(°°)] contractions 435444