inner product
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1—10 of 11 matching pages
1: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
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►A complex linear vector space is called an inner product space if an inner product
is defined for all with the properties: (i) is complex linear in ; (ii) ; (iii) ; (iv) if then .
…Two elements and in are orthogonal if .
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1.18.3
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1.18.12
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►The adjoint of does satisfy where .
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2: 1.2 Elementary Algebra
3: 1.1 Special Notation
4: 1.3 Determinants, Linear Operators, and Spectral Expansions
5: 18.39 Applications in the Physical Sciences
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6: 29.14 Orthogonality
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►is orthogonal and complete with respect to the inner product
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►Each of the following seven systems is orthogonal and complete with respect to the inner product (29.14.2):
…When combined, all eight systems (29.14.1) and (29.14.4)–(29.14.10) form an orthogonal and complete system with respect to the inner product
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7: Bibliography I
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On polynomials orthogonal with respect to certain Sobolev inner products.
J. Approx. Theory 65 (2), pp. 151–175.
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