On oscillatory integral Hilbert transformation with trigonometric polynomial phase
β Scribed by M. A. Chahkiev
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 159 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0133-3852
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π SIMILAR VOLUMES
Stochastic oscillatory integrals with quadratic phase function are studied in the case where amplitude functions are multiple Wiener integrals. We show that a principle of stationary phase holds when kernels of multiple Wiener integrals are of trace class. On the way, we establish a new criterion fo
The properties of oscillating cuspoid integrals whose phase functions are odd and even polynomials are investigated. These integrals are called oddoids and evenoids, respectively (and collectively, oddenoids). We have studied in detail oddenoids whose phase functions contain up to three real paramet