Gift Guide

Integration in Hilbert Space

Sending request ...

Product Details

Table of Contents

1. Definition of a Measure in Hubert Space.- § 1. Measurable Hubert Spaces.- § 2. Weak Distributions.- § 3. The Characteristic Functional. Moment Functional.- § 4. The Minlos-Sazonov Theorem.- § 5- Gaussian Measures.- § 6. Generalized Measures in Hubert Space.- 2. Measurable Functions on Hubert Space.- § 7. Measurable Linear Functional.- § 8. Measurable Linear Operators.- § 9. Measurable Polynomial Functions.- § 10. Square-integrable Polynomials.- § 11. Orthogonal Systems of Polynomials.- § 12. Polynomials Orthogonal with Respect to a Weight Function.- 3. Absolute Continuity of Measures.- § 13. The Radon-Nikodym Theorem. Conditional Measures.- § 14. Martingales and Semi-Martingales..- § 15. General Conditions for Absolute Continuity.- § 16. Absolute Continuity of Product Measures.- § 17. Absolute Continuity of Gaussian Measures.- § 18. Absolute Continuity of Mixed Measures.- 4. Admissible Shifts and Quasi-invariant Measures.- § 19. Admissible Shifts of Measures.- § 20. Admissible Directions.- § 24. Differentiation of Measures w.r.t. a Direction.- § 22. An Admissibility Condition for Shifts.- § 23. Quasi-in variant Measures.- 5. Some Questions of Analysis in Hubert Space.- § 24. The Substitution Formula and Absolute Continuity.- § 25. Linear Transformations.- § 26. Absolute Continuity of Measures under Nonlinear Transformation.- § 27. Surface Integrals..- § 28. Gauss'Formula.- Bibliographic Notes.
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)